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Finding the Fourth Proportional to 3,432.78, 5,150.71 and 1,582.91

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Solution

The fourth proportional to 3,432.78, 5,150.71 and 1,582.91 is: 2,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.78 : 5,150.71 = 1,582.91 : x
  2. Step 2: Convert to fraction form
    3,432.78/5,150.71 = 1,582.91/x
  3. Step 3: Cross multiply
    3,432.78x = 5,150.71 × 1,582.91
  4. Step 4: Simplify right side
    3,432.78x = 8,153,076.70
  5. Step 5: Solve for x
    x = 8,153,076.70/3,432.78
  6. Step 6: Final answer
    x = 2,375.07

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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.