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Finding the Fourth Proportional to 3,866.32, 5,790.21 and 2,217.88

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Solution

The fourth proportional to 3,866.32, 5,790.21 and 2,217.88 is: 3,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.32 : 5,790.21 = 2,217.88 : x
  2. Step 2: Convert to fraction form
    3,866.32/5,790.21 = 2,217.88/x
  3. Step 3: Cross multiply
    3,866.32x = 5,790.21 × 2,217.88
  4. Step 4: Simplify right side
    3,866.32x = 12,841,990.95
  5. Step 5: Solve for x
    x = 12,841,990.95/3,866.32
  6. Step 6: Final answer
    x = 3,321.50

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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.