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Finding the Fourth Proportional to 8,189.87, 12,284.80 and 6,538.68

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Solution

The fourth proportional to 8,189.87, 12,284.80 and 6,538.68 is: 9,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.87 : 12,284.80 = 6,538.68 : x
  2. Step 2: Convert to fraction form
    8,189.87/12,284.80 = 6,538.68/x
  3. Step 3: Cross multiply
    8,189.87x = 12,284.80 × 6,538.68
  4. Step 4: Simplify right side
    8,189.87x = 80,326,359.72
  5. Step 5: Solve for x
    x = 80,326,359.72/8,189.87
  6. Step 6: Final answer
    x = 9,808.02

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.