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Finding the Fourth Proportional to 5,807.52, 8,711.89 and 3,845.90

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Solution

The fourth proportional to 5,807.52, 8,711.89 and 3,845.90 is: 5,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.52 : 8,711.89 = 3,845.90 : x
  2. Step 2: Convert to fraction form
    5,807.52/8,711.89 = 3,845.90/x
  3. Step 3: Cross multiply
    5,807.52x = 8,711.89 × 3,845.90
  4. Step 4: Simplify right side
    5,807.52x = 33,505,069.92
  5. Step 5: Solve for x
    x = 33,505,069.92/5,807.52
  6. Step 6: Final answer
    x = 5,769.26

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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.