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Finding the Fourth Proportional to 8,750, 12,080.46 and 5,611.66

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Solution

The fourth proportional to 8,750, 12,080.46 and 5,611.66 is: 7,747.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750 : 12,080.46 = 5,611.66 : x
  2. Step 2: Convert to fraction form
    8,750/12,080.46 = 5,611.66/x
  3. Step 3: Cross multiply
    8,750x = 12,080.46 × 5,611.66
  4. Step 4: Simplify right side
    8,750x = 67,791,434.16
  5. Step 5: Solve for x
    x = 67,791,434.16/8,750
  6. Step 6: Final answer
    x = 7,747.59

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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.