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Finding the Fourth Proportional to 9,891, 13,649.61 and 5,414.79

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Solution

The fourth proportional to 9,891, 13,649.61 and 5,414.79 is: 7,472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891 : 13,649.61 = 5,414.79 : x
  2. Step 2: Convert to fraction form
    9,891/13,649.61 = 5,414.79/x
  3. Step 3: Cross multiply
    9,891x = 13,649.61 × 5,414.79
  4. Step 4: Simplify right side
    9,891x = 73,909,771.73
  5. Step 5: Solve for x
    x = 73,909,771.73/9,891
  6. Step 6: Final answer
    x = 7,472.43

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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.