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Finding the Fourth Proportional to 8,261.96, 12,319.42 and 8,159.96

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Solution

The fourth proportional to 8,261.96, 12,319.42 and 8,159.96 is: 12,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.96 : 12,319.42 = 8,159.96 : x
  2. Step 2: Convert to fraction form
    8,261.96/12,319.42 = 8,159.96/x
  3. Step 3: Cross multiply
    8,261.96x = 12,319.42 × 8,159.96
  4. Step 4: Simplify right side
    8,261.96x = 100,525,974.42
  5. Step 5: Solve for x
    x = 100,525,974.42/8,261.96
  6. Step 6: Final answer
    x = 12,167.33

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.