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Finding the Fourth Proportional to 8,667.30, 11,950.74 and 8,200.20

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Solution

The fourth proportional to 8,667.30, 11,950.74 and 8,200.20 is: 11,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.30 : 11,950.74 = 8,200.20 : x
  2. Step 2: Convert to fraction form
    8,667.30/11,950.74 = 8,200.20/x
  3. Step 3: Cross multiply
    8,667.30x = 11,950.74 × 8,200.20
  4. Step 4: Simplify right side
    8,667.30x = 97,998,458.15
  5. Step 5: Solve for x
    x = 97,998,458.15/8,667.30
  6. Step 6: Final answer
    x = 11,306.69

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Half scale
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Double scale
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Similar ratio
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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.