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Finding the Fourth Proportional to 8,387.16, 12,582.36 and 3,196.68

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Solution

The fourth proportional to 8,387.16, 12,582.36 and 3,196.68 is: 4,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.16 : 12,582.36 = 3,196.68 : x
  2. Step 2: Convert to fraction form
    8,387.16/12,582.36 = 3,196.68/x
  3. Step 3: Cross multiply
    8,387.16x = 12,582.36 × 3,196.68
  4. Step 4: Simplify right side
    8,387.16x = 40,221,778.56
  5. Step 5: Solve for x
    x = 40,221,778.56/8,387.16
  6. Step 6: Final answer
    x = 4,795.64

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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.