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Finding the Fourth Proportional to 8,611.80, 12,901.22 and 5,824.78

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Solution

The fourth proportional to 8,611.80, 12,901.22 and 5,824.78 is: 8,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.80 : 12,901.22 = 5,824.78 : x
  2. Step 2: Convert to fraction form
    8,611.80/12,901.22 = 5,824.78/x
  3. Step 3: Cross multiply
    8,611.80x = 12,901.22 × 5,824.78
  4. Step 4: Simplify right side
    8,611.80x = 75,146,768.23
  5. Step 5: Solve for x
    x = 75,146,768.23/8,611.80
  6. Step 6: Final answer
    x = 8,726.02

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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.