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Finding the Fourth Proportional to 8,611.80, 11,882.44 and 5,632

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Solution

The fourth proportional to 8,611.80, 11,882.44 and 5,632 is: 7,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.80 : 11,882.44 = 5,632 : x
  2. Step 2: Convert to fraction form
    8,611.80/11,882.44 = 5,632/x
  3. Step 3: Cross multiply
    8,611.80x = 11,882.44 × 5,632
  4. Step 4: Simplify right side
    8,611.80x = 66,921,902.08
  5. Step 5: Solve for x
    x = 66,921,902.08/8,611.80
  6. Step 6: Final answer
    x = 7,770.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.