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Finding the Fourth Proportional to 8,540.97, 12,829.66 and 8,041.60

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Solution

The fourth proportional to 8,540.97, 12,829.66 and 8,041.60 is: 12,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.97 : 12,829.66 = 8,041.60 : x
  2. Step 2: Convert to fraction form
    8,540.97/12,829.66 = 8,041.60/x
  3. Step 3: Cross multiply
    8,540.97x = 12,829.66 × 8,041.60
  4. Step 4: Simplify right side
    8,540.97x = 103,170,973.75
  5. Step 5: Solve for x
    x = 103,170,973.75/8,540.97
  6. Step 6: Final answer
    x = 12,079.55

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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.