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Finding the Fourth Proportional to 25,704, 38,538.43 and 13,697.96

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Solution

The fourth proportional to 25,704, 38,538.43 and 13,697.96 is: 20,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704 : 38,538.43 = 13,697.96 : x
  2. Step 2: Convert to fraction form
    25,704/38,538.43 = 13,697.96/x
  3. Step 3: Cross multiply
    25,704x = 38,538.43 × 13,697.96
  4. Step 4: Simplify right side
    25,704x = 527,897,939.50
  5. Step 5: Solve for x
    x = 527,897,939.50/25,704
  6. Step 6: Final answer
    x = 20,537.58

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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.