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Finding the Fourth Proportional to 13,522.78, 18,658.10 and 8,217.28

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Solution

The fourth proportional to 13,522.78, 18,658.10 and 8,217.28 is: 11,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.78 : 18,658.10 = 8,217.28 : x
  2. Step 2: Convert to fraction form
    13,522.78/18,658.10 = 8,217.28/x
  3. Step 3: Cross multiply
    13,522.78x = 18,658.10 × 8,217.28
  4. Step 4: Simplify right side
    13,522.78x = 153,318,831.97
  5. Step 5: Solve for x
    x = 153,318,831.97/13,522.78
  6. Step 6: Final answer
    x = 11,337.82

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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.