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Finding the Fourth Proportional to 11,255.60, 15,537 and 8,469.20

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Solution

The fourth proportional to 11,255.60, 15,537 and 8,469.20 is: 11,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.60 : 15,537 = 8,469.20 : x
  2. Step 2: Convert to fraction form
    11,255.60/15,537 = 8,469.20/x
  3. Step 3: Cross multiply
    11,255.60x = 15,537 × 8,469.20
  4. Step 4: Simplify right side
    11,255.60x = 131,585,960.40
  5. Step 5: Solve for x
    x = 131,585,960.40/11,255.60
  6. Step 6: Final answer
    x = 11,690.71

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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.