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Finding the Fourth Proportional to 11,854.78, 16,361.31 and 7,074.92

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Solution

The fourth proportional to 11,854.78, 16,361.31 and 7,074.92 is: 9,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.78 : 16,361.31 = 7,074.92 : x
  2. Step 2: Convert to fraction form
    11,854.78/16,361.31 = 7,074.92/x
  3. Step 3: Cross multiply
    11,854.78x = 16,361.31 × 7,074.92
  4. Step 4: Simplify right side
    11,854.78x = 115,755,000.04
  5. Step 5: Solve for x
    x = 115,755,000.04/11,854.78
  6. Step 6: Final answer
    x = 9,764.42

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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.