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Finding the Fourth Proportional to 11,514.74, 15,891.17 and 6,479.46

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Solution

The fourth proportional to 11,514.74, 15,891.17 and 6,479.46 is: 8,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.74 : 15,891.17 = 6,479.46 : x
  2. Step 2: Convert to fraction form
    11,514.74/15,891.17 = 6,479.46/x
  3. Step 3: Cross multiply
    11,514.74x = 15,891.17 × 6,479.46
  4. Step 4: Simplify right side
    11,514.74x = 102,966,167.97
  5. Step 5: Solve for x
    x = 102,966,167.97/11,514.74
  6. Step 6: Final answer
    x = 8,942.12

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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.