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Finding the Fourth Proportional to 3,663.04, 5,055 and 1,984.45

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Solution

The fourth proportional to 3,663.04, 5,055 and 1,984.45 is: 2,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.04 : 5,055 = 1,984.45 : x
  2. Step 2: Convert to fraction form
    3,663.04/5,055 = 1,984.45/x
  3. Step 3: Cross multiply
    3,663.04x = 5,055 × 1,984.45
  4. Step 4: Simplify right side
    3,663.04x = 10,031,382.11
  5. Step 5: Solve for x
    x = 10,031,382.11/3,663.04
  6. Step 6: Final answer
    x = 2,738.54

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Find fourth proportional to 1,831.52, 2,527.50 and 992.22
Half scale
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Double scale
Find fourth proportional to 3,664.04, 5,056.38 and 1,985.45
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.