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Finding the Fourth Proportional to 3,761.10, 5,640.99 and 1,421.31

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Solution

The fourth proportional to 3,761.10, 5,640.99 and 1,421.31 is: 2,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.10 : 5,640.99 = 1,421.31 : x
  2. Step 2: Convert to fraction form
    3,761.10/5,640.99 = 1,421.31/x
  3. Step 3: Cross multiply
    3,761.10x = 5,640.99 × 1,421.31
  4. Step 4: Simplify right side
    3,761.10x = 8,017,595.50
  5. Step 5: Solve for x
    x = 8,017,595.50/3,761.10
  6. Step 6: Final answer
    x = 2,131.72

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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.