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Finding the Fourth Proportional to 21,494.28, 29,662.02 and 12,542.16

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Solution

The fourth proportional to 21,494.28, 29,662.02 and 12,542.16 is: 17,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.28 : 29,662.02 = 12,542.16 : x
  2. Step 2: Convert to fraction form
    21,494.28/29,662.02 = 12,542.16/x
  3. Step 3: Cross multiply
    21,494.28x = 29,662.02 × 12,542.16
  4. Step 4: Simplify right side
    21,494.28x = 372,025,800.76
  5. Step 5: Solve for x
    x = 372,025,800.76/21,494.28
  6. Step 6: Final answer
    x = 17,308.13

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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.