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Finding the Fourth Proportional to 9,343.14, 12,891.92 and 6,319.61

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Solution

The fourth proportional to 9,343.14, 12,891.92 and 6,319.61 is: 8,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.14 : 12,891.92 = 6,319.61 : x
  2. Step 2: Convert to fraction form
    9,343.14/12,891.92 = 6,319.61/x
  3. Step 3: Cross multiply
    9,343.14x = 12,891.92 × 6,319.61
  4. Step 4: Simplify right side
    9,343.14x = 81,471,906.55
  5. Step 5: Solve for x
    x = 81,471,906.55/9,343.14
  6. Step 6: Final answer
    x = 8,719.97

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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.