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Finding the Fourth Proportional to 3,959.10, 5,938.65 and 3,411.90

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Solution

The fourth proportional to 3,959.10, 5,938.65 and 3,411.90 is: 5,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.10 : 5,938.65 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    3,959.10/5,938.65 = 3,411.90/x
  3. Step 3: Cross multiply
    3,959.10x = 5,938.65 × 3,411.90
  4. Step 4: Simplify right side
    3,959.10x = 20,262,079.94
  5. Step 5: Solve for x
    x = 20,262,079.94/3,959.10
  6. Step 6: Final answer
    x = 5,117.85

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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.