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Finding the Fourth Proportional to 3,502.08, 5,250.10 and 1,651.90

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Solution

The fourth proportional to 3,502.08, 5,250.10 and 1,651.90 is: 2,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.08 : 5,250.10 = 1,651.90 : x
  2. Step 2: Convert to fraction form
    3,502.08/5,250.10 = 1,651.90/x
  3. Step 3: Cross multiply
    3,502.08x = 5,250.10 × 1,651.90
  4. Step 4: Simplify right side
    3,502.08x = 8,672,640.19
  5. Step 5: Solve for x
    x = 8,672,640.19/3,502.08
  6. Step 6: Final answer
    x = 2,476.43

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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.