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Finding the Fourth Proportional to 25,691.72, 38,540.14 and 6,972.05

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Solution

The fourth proportional to 25,691.72, 38,540.14 and 6,972.05 is: 10,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,691.72 : 38,540.14 = 6,972.05 : x
  2. Step 2: Convert to fraction form
    25,691.72/38,540.14 = 6,972.05/x
  3. Step 3: Cross multiply
    25,691.72x = 38,540.14 × 6,972.05
  4. Step 4: Simplify right side
    25,691.72x = 268,703,862.01
  5. Step 5: Solve for x
    x = 268,703,862.01/25,691.72
  6. Step 6: Final answer
    x = 10,458.77

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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.