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Finding the Fourth Proportional to 3,872.52, 5,807.70 and 2,773.62

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Solution

The fourth proportional to 3,872.52, 5,807.70 and 2,773.62 is: 4,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.52 : 5,807.70 = 2,773.62 : x
  2. Step 2: Convert to fraction form
    3,872.52/5,807.70 = 2,773.62/x
  3. Step 3: Cross multiply
    3,872.52x = 5,807.70 × 2,773.62
  4. Step 4: Simplify right side
    3,872.52x = 16,108,352.87
  5. Step 5: Solve for x
    x = 16,108,352.87/3,872.52
  6. Step 6: Final answer
    x = 4,159.66

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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.