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Finding the Fourth Proportional to 9,380.75, 12,950.13 and 7,251.47

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Solution

The fourth proportional to 9,380.75, 12,950.13 and 7,251.47 is: 10,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.75 : 12,950.13 = 7,251.47 : x
  2. Step 2: Convert to fraction form
    9,380.75/12,950.13 = 7,251.47/x
  3. Step 3: Cross multiply
    9,380.75x = 12,950.13 × 7,251.47
  4. Step 4: Simplify right side
    9,380.75x = 93,907,414.44
  5. Step 5: Solve for x
    x = 93,907,414.44/9,380.75
  6. Step 6: Final answer
    x = 10,010.66

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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.