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Finding the Fourth Proportional to 3,800.40, 5,700.54 and 3,149.76

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Solution

The fourth proportional to 3,800.40, 5,700.54 and 3,149.76 is: 4,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.40 : 5,700.54 = 3,149.76 : x
  2. Step 2: Convert to fraction form
    3,800.40/5,700.54 = 3,149.76/x
  3. Step 3: Cross multiply
    3,800.40x = 5,700.54 × 3,149.76
  4. Step 4: Simplify right side
    3,800.40x = 17,955,332.87
  5. Step 5: Solve for x
    x = 17,955,332.87/3,800.40
  6. Step 6: Final answer
    x = 4,724.59

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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.