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Finding the Fourth Proportional to 5,769.75, 8,654.64 and 1,387.20

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Solution

The fourth proportional to 5,769.75, 8,654.64 and 1,387.20 is: 2,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.75 : 8,654.64 = 1,387.20 : x
  2. Step 2: Convert to fraction form
    5,769.75/8,654.64 = 1,387.20/x
  3. Step 3: Cross multiply
    5,769.75x = 8,654.64 × 1,387.20
  4. Step 4: Simplify right side
    5,769.75x = 12,005,716.61
  5. Step 5: Solve for x
    x = 12,005,716.61/5,769.75
  6. Step 6: Final answer
    x = 2,080.80

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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.