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Finding the Fourth Proportional to 8,562.68, 12,846 and 3,632.52

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Solution

The fourth proportional to 8,562.68, 12,846 and 3,632.52 is: 5,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.68 : 12,846 = 3,632.52 : x
  2. Step 2: Convert to fraction form
    8,562.68/12,846 = 3,632.52/x
  3. Step 3: Cross multiply
    8,562.68x = 12,846 × 3,632.52
  4. Step 4: Simplify right side
    8,562.68x = 46,663,351.92
  5. Step 5: Solve for x
    x = 46,663,351.92/8,562.68
  6. Step 6: Final answer
    x = 5,449.62

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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.