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Finding the Fourth Proportional to 2,574.87, 3,862.31 and 1,035.87

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Solution

The fourth proportional to 2,574.87, 3,862.31 and 1,035.87 is: 1,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.87 : 3,862.31 = 1,035.87 : x
  2. Step 2: Convert to fraction form
    2,574.87/3,862.31 = 1,035.87/x
  3. Step 3: Cross multiply
    2,574.87x = 3,862.31 × 1,035.87
  4. Step 4: Simplify right side
    2,574.87x = 4,000,845.88
  5. Step 5: Solve for x
    x = 4,000,845.88/2,574.87
  6. Step 6: Final answer
    x = 1,553.81

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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.