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Finding the Fourth Proportional to 3,471.12, 5,203.41 and 1,691.78

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Solution

The fourth proportional to 3,471.12, 5,203.41 and 1,691.78 is: 2,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.12 : 5,203.41 = 1,691.78 : x
  2. Step 2: Convert to fraction form
    3,471.12/5,203.41 = 1,691.78/x
  3. Step 3: Cross multiply
    3,471.12x = 5,203.41 × 1,691.78
  4. Step 4: Simplify right side
    3,471.12x = 8,802,998.95
  5. Step 5: Solve for x
    x = 8,802,998.95/3,471.12
  6. Step 6: Final answer
    x = 2,536.07

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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.