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Finding the Fourth Proportional to 11,414.99, 15,748.35 and 8,437.97

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Solution

The fourth proportional to 11,414.99, 15,748.35 and 8,437.97 is: 11,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.99 : 15,748.35 = 8,437.97 : x
  2. Step 2: Convert to fraction form
    11,414.99/15,748.35 = 8,437.97/x
  3. Step 3: Cross multiply
    11,414.99x = 15,748.35 × 8,437.97
  4. Step 4: Simplify right side
    11,414.99x = 132,884,104.85
  5. Step 5: Solve for x
    x = 132,884,104.85/11,414.99
  6. Step 6: Final answer
    x = 11,641.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.