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Finding the Fourth Proportional to 3,898.76, 5,847.36 and 1,432.74

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Solution

The fourth proportional to 3,898.76, 5,847.36 and 1,432.74 is: 2,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.76 : 5,847.36 = 1,432.74 : x
  2. Step 2: Convert to fraction form
    3,898.76/5,847.36 = 1,432.74/x
  3. Step 3: Cross multiply
    3,898.76x = 5,847.36 × 1,432.74
  4. Step 4: Simplify right side
    3,898.76x = 8,377,746.57
  5. Step 5: Solve for x
    x = 8,377,746.57/3,898.76
  6. Step 6: Final answer
    x = 2,148.82

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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.