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Finding the Fourth Proportional to 3,898.88, 5,847.41 and 1,432.37

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Solution

The fourth proportional to 3,898.88, 5,847.41 and 1,432.37 is: 2,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.88 : 5,847.41 = 1,432.37 : x
  2. Step 2: Convert to fraction form
    3,898.88/5,847.41 = 1,432.37/x
  3. Step 3: Cross multiply
    3,898.88x = 5,847.41 × 1,432.37
  4. Step 4: Simplify right side
    3,898.88x = 8,375,631.91
  5. Step 5: Solve for x
    x = 8,375,631.91/3,898.88
  6. Step 6: Final answer
    x = 2,148.21

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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.