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Finding the Fourth Proportional to 8,167.08, 11,202.76 and 8,096.80

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Solution

The fourth proportional to 8,167.08, 11,202.76 and 8,096.80 is: 11,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.08 : 11,202.76 = 8,096.80 : x
  2. Step 2: Convert to fraction form
    8,167.08/11,202.76 = 8,096.80/x
  3. Step 3: Cross multiply
    8,167.08x = 11,202.76 × 8,096.80
  4. Step 4: Simplify right side
    8,167.08x = 90,706,507.17
  5. Step 5: Solve for x
    x = 90,706,507.17/8,167.08
  6. Step 6: Final answer
    x = 11,106.36

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Half scale
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Double scale
Find fourth proportional to 8,168.08, 11,204.13 and 8,097.80
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.