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Finding the Fourth Proportional to 18,913.92, 28,375.40 and 5,765.47

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Solution

The fourth proportional to 18,913.92, 28,375.40 and 5,765.47 is: 8,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,913.92 : 28,375.40 = 5,765.47 : x
  2. Step 2: Convert to fraction form
    18,913.92/28,375.40 = 5,765.47/x
  3. Step 3: Cross multiply
    18,913.92x = 28,375.40 × 5,765.47
  4. Step 4: Simplify right side
    18,913.92x = 163,597,517.44
  5. Step 5: Solve for x
    x = 163,597,517.44/18,913.92
  6. Step 6: Final answer
    x = 8,649.58

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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.