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Finding the Fourth Proportional to 8,357.76, 12,487.62 and 8,067.12

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Solution

The fourth proportional to 8,357.76, 12,487.62 and 8,067.12 is: 12,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.76 : 12,487.62 = 8,067.12 : x
  2. Step 2: Convert to fraction form
    8,357.76/12,487.62 = 8,067.12/x
  3. Step 3: Cross multiply
    8,357.76x = 12,487.62 × 8,067.12
  4. Step 4: Simplify right side
    8,357.76x = 100,739,129.05
  5. Step 5: Solve for x
    x = 100,739,129.05/8,357.76
  6. Step 6: Final answer
    x = 12,053.36

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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.