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Finding the Fourth Proportional to 5,766.38, 8,639.84 and 3,812.66

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Solution

The fourth proportional to 5,766.38, 8,639.84 and 3,812.66 is: 5,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.38 : 8,639.84 = 3,812.66 : x
  2. Step 2: Convert to fraction form
    5,766.38/8,639.84 = 3,812.66/x
  3. Step 3: Cross multiply
    5,766.38x = 8,639.84 × 3,812.66
  4. Step 4: Simplify right side
    5,766.38x = 32,940,710.11
  5. Step 5: Solve for x
    x = 32,940,710.11/5,766.38
  6. Step 6: Final answer
    x = 5,712.55

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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.