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Finding the Fourth Proportional to 2,815.22, 4,221.21 and 866.90

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Solution

The fourth proportional to 2,815.22, 4,221.21 and 866.90 is: 1,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.22 : 4,221.21 = 866.90 : x
  2. Step 2: Convert to fraction form
    2,815.22/4,221.21 = 866.90/x
  3. Step 3: Cross multiply
    2,815.22x = 4,221.21 × 866.90
  4. Step 4: Simplify right side
    2,815.22x = 3,659,366.95
  5. Step 5: Solve for x
    x = 3,659,366.95/2,815.22
  6. Step 6: Final answer
    x = 1,299.85

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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.