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Finding the Fourth Proportional to 3,842.61, 5,302.95 and 2,164.68

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Solution

The fourth proportional to 3,842.61, 5,302.95 and 2,164.68 is: 2,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.61 : 5,302.95 = 2,164.68 : x
  2. Step 2: Convert to fraction form
    3,842.61/5,302.95 = 2,164.68/x
  3. Step 3: Cross multiply
    3,842.61x = 5,302.95 × 2,164.68
  4. Step 4: Simplify right side
    3,842.61x = 11,479,189.81
  5. Step 5: Solve for x
    x = 11,479,189.81/3,842.61
  6. Step 6: Final answer
    x = 2,987.34

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Half scale
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Double scale
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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.