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Finding the Fourth Proportional to 3,220.62, 4,831.74 and 912.12

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Solution

The fourth proportional to 3,220.62, 4,831.74 and 912.12 is: 1,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.62 : 4,831.74 = 912.12 : x
  2. Step 2: Convert to fraction form
    3,220.62/4,831.74 = 912.12/x
  3. Step 3: Cross multiply
    3,220.62x = 4,831.74 × 912.12
  4. Step 4: Simplify right side
    3,220.62x = 4,407,126.69
  5. Step 5: Solve for x
    x = 4,407,126.69/3,220.62
  6. Step 6: Final answer
    x = 1,368.41

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.