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Finding the Fourth Proportional to 3,937.38, 5,902.39 and 1,744.89

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Solution

The fourth proportional to 3,937.38, 5,902.39 and 1,744.89 is: 2,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.38 : 5,902.39 = 1,744.89 : x
  2. Step 2: Convert to fraction form
    3,937.38/5,902.39 = 1,744.89/x
  3. Step 3: Cross multiply
    3,937.38x = 5,902.39 × 1,744.89
  4. Step 4: Simplify right side
    3,937.38x = 10,299,021.29
  5. Step 5: Solve for x
    x = 10,299,021.29/3,937.38
  6. Step 6: Final answer
    x = 2,615.70

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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.