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Finding the Fourth Proportional to 15,217.22, 20,987.91 and 9,766.82

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Solution

The fourth proportional to 15,217.22, 20,987.91 and 9,766.82 is: 13,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217.22 : 20,987.91 = 9,766.82 : x
  2. Step 2: Convert to fraction form
    15,217.22/20,987.91 = 9,766.82/x
  3. Step 3: Cross multiply
    15,217.22x = 20,987.91 × 9,766.82
  4. Step 4: Simplify right side
    15,217.22x = 204,985,191.62
  5. Step 5: Solve for x
    x = 204,985,191.62/15,217.22
  6. Step 6: Final answer
    x = 13,470.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.