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Finding the Fourth Proportional to 25,471.52, 38,206.88 and 13,782

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Solution

The fourth proportional to 25,471.52, 38,206.88 and 13,782 is: 20,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.52 : 38,206.88 = 13,782 : x
  2. Step 2: Convert to fraction form
    25,471.52/38,206.88 = 13,782/x
  3. Step 3: Cross multiply
    25,471.52x = 38,206.88 × 13,782
  4. Step 4: Simplify right side
    25,471.52x = 526,567,220.16
  5. Step 5: Solve for x
    x = 526,567,220.16/25,471.52
  6. Step 6: Final answer
    x = 20,672.78

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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.