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Finding the Fourth Proportional to 3,219.24, 4,834.32 and 1,761.24

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Solution

The fourth proportional to 3,219.24, 4,834.32 and 1,761.24 is: 2,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.24 : 4,834.32 = 1,761.24 : x
  2. Step 2: Convert to fraction form
    3,219.24/4,834.32 = 1,761.24/x
  3. Step 3: Cross multiply
    3,219.24x = 4,834.32 × 1,761.24
  4. Step 4: Simplify right side
    3,219.24x = 8,514,397.76
  5. Step 5: Solve for x
    x = 8,514,397.76/3,219.24
  6. Step 6: Final answer
    x = 2,644.85

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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.