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Finding the Fourth Proportional to 8,891.60, 13,342.05 and 5,770.87

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Solution

The fourth proportional to 8,891.60, 13,342.05 and 5,770.87 is: 8,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891.60 : 13,342.05 = 5,770.87 : x
  2. Step 2: Convert to fraction form
    8,891.60/13,342.05 = 5,770.87/x
  3. Step 3: Cross multiply
    8,891.60x = 13,342.05 × 5,770.87
  4. Step 4: Simplify right side
    8,891.60x = 76,995,236.08
  5. Step 5: Solve for x
    x = 76,995,236.08/8,891.60
  6. Step 6: Final answer
    x = 8,659.32

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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.