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Finding the Fourth Proportional to 8,562.96, 12,841.20 and 3,366

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Solution

The fourth proportional to 8,562.96, 12,841.20 and 3,366 is: 5,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.96 : 12,841.20 = 3,366 : x
  2. Step 2: Convert to fraction form
    8,562.96/12,841.20 = 3,366/x
  3. Step 3: Cross multiply
    8,562.96x = 12,841.20 × 3,366
  4. Step 4: Simplify right side
    8,562.96x = 43,223,479.20
  5. Step 5: Solve for x
    x = 43,223,479.20/8,562.96
  6. Step 6: Final answer
    x = 5,047.73

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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.