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Finding the Fourth Proportional to 10,691.90, 14,734.41 and 9,292.22

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Solution

The fourth proportional to 10,691.90, 14,734.41 and 9,292.22 is: 12,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.90 : 14,734.41 = 9,292.22 : x
  2. Step 2: Convert to fraction form
    10,691.90/14,734.41 = 9,292.22/x
  3. Step 3: Cross multiply
    10,691.90x = 14,734.41 × 9,292.22
  4. Step 4: Simplify right side
    10,691.90x = 136,915,379.29
  5. Step 5: Solve for x
    x = 136,915,379.29/10,691.90
  6. Step 6: Final answer
    x = 12,805.52

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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.