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Finding the Fourth Proportional to 3,749.70, 5,616.45 and 3,101.70

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Solution

The fourth proportional to 3,749.70, 5,616.45 and 3,101.70 is: 4,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.70 : 5,616.45 = 3,101.70 : x
  2. Step 2: Convert to fraction form
    3,749.70/5,616.45 = 3,101.70/x
  3. Step 3: Cross multiply
    3,749.70x = 5,616.45 × 3,101.70
  4. Step 4: Simplify right side
    3,749.70x = 17,420,542.97
  5. Step 5: Solve for x
    x = 17,420,542.97/3,749.70
  6. Step 6: Final answer
    x = 4,645.85

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1.5x scale

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.