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Finding the Fourth Proportional to 3,857.80, 5,789.12 and 2,217.54

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Solution

The fourth proportional to 3,857.80, 5,789.12 and 2,217.54 is: 3,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.80 : 5,789.12 = 2,217.54 : x
  2. Step 2: Convert to fraction form
    3,857.80/5,789.12 = 2,217.54/x
  3. Step 3: Cross multiply
    3,857.80x = 5,789.12 × 2,217.54
  4. Step 4: Simplify right side
    3,857.80x = 12,837,605.16
  5. Step 5: Solve for x
    x = 12,837,605.16/3,857.80
  6. Step 6: Final answer
    x = 3,327.70

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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.