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Finding the Fourth Proportional to 18,070, 24,909.26 and 15,538.55

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Solution

The fourth proportional to 18,070, 24,909.26 and 15,538.55 is: 21,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,070 : 24,909.26 = 15,538.55 : x
  2. Step 2: Convert to fraction form
    18,070/24,909.26 = 15,538.55/x
  3. Step 3: Cross multiply
    18,070x = 24,909.26 × 15,538.55
  4. Step 4: Simplify right side
    18,070x = 387,053,758.55
  5. Step 5: Solve for x
    x = 387,053,758.55/18,070
  6. Step 6: Final answer
    x = 21,419.69

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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.