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Finding the Fourth Proportional to 8,469.97, 11,689.65 and 5,114.68

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Solution

The fourth proportional to 8,469.97, 11,689.65 and 5,114.68 is: 7,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.97 : 11,689.65 = 5,114.68 : x
  2. Step 2: Convert to fraction form
    8,469.97/11,689.65 = 5,114.68/x
  3. Step 3: Cross multiply
    8,469.97x = 11,689.65 × 5,114.68
  4. Step 4: Simplify right side
    8,469.97x = 59,788,819.06
  5. Step 5: Solve for x
    x = 59,788,819.06/8,469.97
  6. Step 6: Final answer
    x = 7,058.92

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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.