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Finding the Fourth Proportional to 9,891.22, 13,649.88 and 5,414.97

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Solution

The fourth proportional to 9,891.22, 13,649.88 and 5,414.97 is: 7,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.22 : 13,649.88 = 5,414.97 : x
  2. Step 2: Convert to fraction form
    9,891.22/13,649.88 = 5,414.97/x
  3. Step 3: Cross multiply
    9,891.22x = 13,649.88 × 5,414.97
  4. Step 4: Simplify right side
    9,891.22x = 73,913,690.70
  5. Step 5: Solve for x
    x = 73,913,690.70/9,891.22
  6. Step 6: Final answer
    x = 7,472.66

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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.