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Finding the Fourth Proportional to 8,104.68, 12,157 and 2,261.32

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Solution

The fourth proportional to 8,104.68, 12,157 and 2,261.32 is: 3,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.68 : 12,157 = 2,261.32 : x
  2. Step 2: Convert to fraction form
    8,104.68/12,157 = 2,261.32/x
  3. Step 3: Cross multiply
    8,104.68x = 12,157 × 2,261.32
  4. Step 4: Simplify right side
    8,104.68x = 27,490,867.24
  5. Step 5: Solve for x
    x = 27,490,867.24/8,104.68
  6. Step 6: Final answer
    x = 3,391.97

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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.