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Finding the Fourth Proportional to 25,530, 38,294.76 and 13,917

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Solution

The fourth proportional to 25,530, 38,294.76 and 13,917 is: 20,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,530 : 38,294.76 = 13,917 : x
  2. Step 2: Convert to fraction form
    25,530/38,294.76 = 13,917/x
  3. Step 3: Cross multiply
    25,530x = 38,294.76 × 13,917
  4. Step 4: Simplify right side
    25,530x = 532,948,174.92
  5. Step 5: Solve for x
    x = 532,948,174.92/25,530
  6. Step 6: Final answer
    x = 20,875.37

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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.