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Finding the Fourth Proportional to 10,489.98, 15,734.97 and 7,193.07

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Solution

The fourth proportional to 10,489.98, 15,734.97 and 7,193.07 is: 10,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.98 : 15,734.97 = 7,193.07 : x
  2. Step 2: Convert to fraction form
    10,489.98/15,734.97 = 7,193.07/x
  3. Step 3: Cross multiply
    10,489.98x = 15,734.97 × 7,193.07
  4. Step 4: Simplify right side
    10,489.98x = 113,182,740.66
  5. Step 5: Solve for x
    x = 113,182,740.66/10,489.98
  6. Step 6: Final answer
    x = 10,789.61

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.