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Finding the Fourth Proportional to 8,711.14, 13,131 and 8,203.10

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Solution

The fourth proportional to 8,711.14, 13,131 and 8,203.10 is: 12,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.14 : 13,131 = 8,203.10 : x
  2. Step 2: Convert to fraction form
    8,711.14/13,131 = 8,203.10/x
  3. Step 3: Cross multiply
    8,711.14x = 13,131 × 8,203.10
  4. Step 4: Simplify right side
    8,711.14x = 107,714,906.10
  5. Step 5: Solve for x
    x = 107,714,906.10/8,711.14
  6. Step 6: Final answer
    x = 12,365.19

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.