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Finding the Fourth Proportional to 8,098.65, 12,147.05 and 3,419.39

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Solution

The fourth proportional to 8,098.65, 12,147.05 and 3,419.39 is: 5,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.65 : 12,147.05 = 3,419.39 : x
  2. Step 2: Convert to fraction form
    8,098.65/12,147.05 = 3,419.39/x
  3. Step 3: Cross multiply
    8,098.65x = 12,147.05 × 3,419.39
  4. Step 4: Simplify right side
    8,098.65x = 41,535,540.22
  5. Step 5: Solve for x
    x = 41,535,540.22/8,098.65
  6. Step 6: Final answer
    x = 5,128.70

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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.