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Finding the Fourth Proportional to 8,633.74, 12,947.04 and 2,708.65

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Solution

The fourth proportional to 8,633.74, 12,947.04 and 2,708.65 is: 4,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.74 : 12,947.04 = 2,708.65 : x
  2. Step 2: Convert to fraction form
    8,633.74/12,947.04 = 2,708.65/x
  3. Step 3: Cross multiply
    8,633.74x = 12,947.04 × 2,708.65
  4. Step 4: Simplify right side
    8,633.74x = 35,068,999.90
  5. Step 5: Solve for x
    x = 35,068,999.90/8,633.74
  6. Step 6: Final answer
    x = 4,061.85

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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.