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Finding the Fourth Proportional to 7,711.66, 11,552.06 and 3,545.96

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Solution

The fourth proportional to 7,711.66, 11,552.06 and 3,545.96 is: 5,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.66 : 11,552.06 = 3,545.96 : x
  2. Step 2: Convert to fraction form
    7,711.66/11,552.06 = 3,545.96/x
  3. Step 3: Cross multiply
    7,711.66x = 11,552.06 × 3,545.96
  4. Step 4: Simplify right side
    7,711.66x = 40,963,142.68
  5. Step 5: Solve for x
    x = 40,963,142.68/7,711.66
  6. Step 6: Final answer
    x = 5,311.85

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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.