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Finding the Fourth Proportional to 2,504.70, 3,757.86 and 862.38

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Solution

The fourth proportional to 2,504.70, 3,757.86 and 862.38 is: 1,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.70 : 3,757.86 = 862.38 : x
  2. Step 2: Convert to fraction form
    2,504.70/3,757.86 = 862.38/x
  3. Step 3: Cross multiply
    2,504.70x = 3,757.86 × 862.38
  4. Step 4: Simplify right side
    2,504.70x = 3,240,703.31
  5. Step 5: Solve for x
    x = 3,240,703.31/2,504.70
  6. Step 6: Final answer
    x = 1,293.85

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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.