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Finding the Fourth Proportional to 3,937.81, 5,906.71 and 1,340.75

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Solution

The fourth proportional to 3,937.81, 5,906.71 and 1,340.75 is: 2,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.81 : 5,906.71 = 1,340.75 : x
  2. Step 2: Convert to fraction form
    3,937.81/5,906.71 = 1,340.75/x
  3. Step 3: Cross multiply
    3,937.81x = 5,906.71 × 1,340.75
  4. Step 4: Simplify right side
    3,937.81x = 7,919,415.73
  5. Step 5: Solve for x
    x = 7,919,415.73/3,937.81
  6. Step 6: Final answer
    x = 2,011.12

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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.