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Finding the Fourth Proportional to 38,275, 57,414.70 and 13,651

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Solution

The fourth proportional to 38,275, 57,414.70 and 13,651 is: 20,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275 : 57,414.70 = 13,651 : x
  2. Step 2: Convert to fraction form
    38,275/57,414.70 = 13,651/x
  3. Step 3: Cross multiply
    38,275x = 57,414.70 × 13,651
  4. Step 4: Simplify right side
    38,275x = 783,768,069.70
  5. Step 5: Solve for x
    x = 783,768,069.70/38,275
  6. Step 6: Final answer
    x = 20,477.28

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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.