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Finding the Fourth Proportional to 5,685.68, 8,517 and 2,761.76

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Solution

The fourth proportional to 5,685.68, 8,517 and 2,761.76 is: 4,137.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.68 : 8,517 = 2,761.76 : x
  2. Step 2: Convert to fraction form
    5,685.68/8,517 = 2,761.76/x
  3. Step 3: Cross multiply
    5,685.68x = 8,517 × 2,761.76
  4. Step 4: Simplify right side
    5,685.68x = 23,521,909.92
  5. Step 5: Solve for x
    x = 23,521,909.92/5,685.68
  6. Step 6: Final answer
    x = 4,137.04

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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.