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Finding the Fourth Proportional to 8,832.60, 13,174.49 and 8,220.24

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Solution

The fourth proportional to 8,832.60, 13,174.49 and 8,220.24 is: 12,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.60 : 13,174.49 = 8,220.24 : x
  2. Step 2: Convert to fraction form
    8,832.60/13,174.49 = 8,220.24/x
  3. Step 3: Cross multiply
    8,832.60x = 13,174.49 × 8,220.24
  4. Step 4: Simplify right side
    8,832.60x = 108,297,490.23
  5. Step 5: Solve for x
    x = 108,297,490.23/8,832.60
  6. Step 6: Final answer
    x = 12,261.11

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Half scale
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Double scale
Find fourth proportional to 8,833.60, 13,175.98 and 8,221.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.