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Finding the Fourth Proportional to 21,438, 29,593.74 and 16,134.12

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Solution

The fourth proportional to 21,438, 29,593.74 and 16,134.12 is: 22,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438 : 29,593.74 = 16,134.12 : x
  2. Step 2: Convert to fraction form
    21,438/29,593.74 = 16,134.12/x
  3. Step 3: Cross multiply
    21,438x = 29,593.74 × 16,134.12
  4. Step 4: Simplify right side
    21,438x = 477,468,952.41
  5. Step 5: Solve for x
    x = 477,468,952.41/21,438
  6. Step 6: Final answer
    x = 22,272.08

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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.