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Finding the Fourth Proportional to 8,517.92, 12,775.26 and 2,278.22

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Solution

The fourth proportional to 8,517.92, 12,775.26 and 2,278.22 is: 3,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.92 : 12,775.26 = 2,278.22 : x
  2. Step 2: Convert to fraction form
    8,517.92/12,775.26 = 2,278.22/x
  3. Step 3: Cross multiply
    8,517.92x = 12,775.26 × 2,278.22
  4. Step 4: Simplify right side
    8,517.92x = 29,104,852.84
  5. Step 5: Solve for x
    x = 29,104,852.84/8,517.92
  6. Step 6: Final answer
    x = 3,416.90

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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.