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Finding the Fourth Proportional to 7,706.82, 11,569.80 and 5,381.61

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Solution

The fourth proportional to 7,706.82, 11,569.80 and 5,381.61 is: 8,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.82 : 11,569.80 = 5,381.61 : x
  2. Step 2: Convert to fraction form
    7,706.82/11,569.80 = 5,381.61/x
  3. Step 3: Cross multiply
    7,706.82x = 11,569.80 × 5,381.61
  4. Step 4: Simplify right side
    7,706.82x = 62,264,151.38
  5. Step 5: Solve for x
    x = 62,264,151.38/7,706.82
  6. Step 6: Final answer
    x = 8,079.10

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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.