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Finding the Fourth Proportional to 3,789.64, 5,229.90 and 2,218.64

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Solution

The fourth proportional to 3,789.64, 5,229.90 and 2,218.64 is: 3,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.64 : 5,229.90 = 2,218.64 : x
  2. Step 2: Convert to fraction form
    3,789.64/5,229.90 = 2,218.64/x
  3. Step 3: Cross multiply
    3,789.64x = 5,229.90 × 2,218.64
  4. Step 4: Simplify right side
    3,789.64x = 11,603,265.34
  5. Step 5: Solve for x
    x = 11,603,265.34/3,789.64
  6. Step 6: Final answer
    x = 3,061.84

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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.