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Finding the Fourth Proportional to 1,601.87, 2,401.32 and 871.52

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Solution

The fourth proportional to 1,601.87, 2,401.32 and 871.52 is: 1,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.87 : 2,401.32 = 871.52 : x
  2. Step 2: Convert to fraction form
    1,601.87/2,401.32 = 871.52/x
  3. Step 3: Cross multiply
    1,601.87x = 2,401.32 × 871.52
  4. Step 4: Simplify right side
    1,601.87x = 2,092,798.41
  5. Step 5: Solve for x
    x = 2,092,798.41/1,601.87
  6. Step 6: Final answer
    x = 1,306.47

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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.