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Finding the Fourth Proportional to 12,704.16, 17,520.32 and 8,223.24

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Solution

The fourth proportional to 12,704.16, 17,520.32 and 8,223.24 is: 11,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.16 : 17,520.32 = 8,223.24 : x
  2. Step 2: Convert to fraction form
    12,704.16/17,520.32 = 8,223.24/x
  3. Step 3: Cross multiply
    12,704.16x = 17,520.32 × 8,223.24
  4. Step 4: Simplify right side
    12,704.16x = 144,073,755.12
  5. Step 5: Solve for x
    x = 144,073,755.12/12,704.16
  6. Step 6: Final answer
    x = 11,340.68

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Half scale
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Double scale
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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.