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Finding the Fourth Proportional to 3,791, 5,230.78 and 2,218.76

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Solution

The fourth proportional to 3,791, 5,230.78 and 2,218.76 is: 3,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791 : 5,230.78 = 2,218.76 : x
  2. Step 2: Convert to fraction form
    3,791/5,230.78 = 2,218.76/x
  3. Step 3: Cross multiply
    3,791x = 5,230.78 × 2,218.76
  4. Step 4: Simplify right side
    3,791x = 11,605,845.43
  5. Step 5: Solve for x
    x = 11,605,845.43/3,791
  6. Step 6: Final answer
    x = 3,061.42

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.