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Finding the Fourth Proportional to 8,966.14, 12,375.75 and 5,240.86

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Solution

The fourth proportional to 8,966.14, 12,375.75 and 5,240.86 is: 7,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.14 : 12,375.75 = 5,240.86 : x
  2. Step 2: Convert to fraction form
    8,966.14/12,375.75 = 5,240.86/x
  3. Step 3: Cross multiply
    8,966.14x = 12,375.75 × 5,240.86
  4. Step 4: Simplify right side
    8,966.14x = 64,859,573.15
  5. Step 5: Solve for x
    x = 64,859,573.15/8,966.14
  6. Step 6: Final answer
    x = 7,233.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.