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Finding the Fourth Proportional to 8,556.90, 12,839.46 and 4,171.97

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Solution

The fourth proportional to 8,556.90, 12,839.46 and 4,171.97 is: 6,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.90 : 12,839.46 = 4,171.97 : x
  2. Step 2: Convert to fraction form
    8,556.90/12,839.46 = 4,171.97/x
  3. Step 3: Cross multiply
    8,556.90x = 12,839.46 × 4,171.97
  4. Step 4: Simplify right side
    8,556.90x = 53,565,777.74
  5. Step 5: Solve for x
    x = 53,565,777.74/8,556.90
  6. Step 6: Final answer
    x = 6,259.95

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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.