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Finding the Fourth Proportional to 9,891.12, 13,649.48 and 5,414.86

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Solution

The fourth proportional to 9,891.12, 13,649.48 and 5,414.86 is: 7,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.12 : 13,649.48 = 5,414.86 : x
  2. Step 2: Convert to fraction form
    9,891.12/13,649.48 = 5,414.86/x
  3. Step 3: Cross multiply
    9,891.12x = 13,649.48 × 5,414.86
  4. Step 4: Simplify right side
    9,891.12x = 73,910,023.27
  5. Step 5: Solve for x
    x = 73,910,023.27/9,891.12
  6. Step 6: Final answer
    x = 7,472.36

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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.