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Finding the Fourth Proportional to 3,401.80, 5,103.50 and 1,061.72

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Solution

The fourth proportional to 3,401.80, 5,103.50 and 1,061.72 is: 1,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.80 : 5,103.50 = 1,061.72 : x
  2. Step 2: Convert to fraction form
    3,401.80/5,103.50 = 1,061.72/x
  3. Step 3: Cross multiply
    3,401.80x = 5,103.50 × 1,061.72
  4. Step 4: Simplify right side
    3,401.80x = 5,418,488.02
  5. Step 5: Solve for x
    x = 5,418,488.02/3,401.80
  6. Step 6: Final answer
    x = 1,592.83

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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.