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Finding the Fourth Proportional to 3,432.87, 5,148.53 and 1,677.87

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Solution

The fourth proportional to 3,432.87, 5,148.53 and 1,677.87 is: 2,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.87 : 5,148.53 = 1,677.87 : x
  2. Step 2: Convert to fraction form
    3,432.87/5,148.53 = 1,677.87/x
  3. Step 3: Cross multiply
    3,432.87x = 5,148.53 × 1,677.87
  4. Step 4: Simplify right side
    3,432.87x = 8,638,555.64
  5. Step 5: Solve for x
    x = 8,638,555.64/3,432.87
  6. Step 6: Final answer
    x = 2,516.42

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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.