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Finding the Fourth Proportional to 8,342.80, 12,514.20 and 3,413.14

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Solution

The fourth proportional to 8,342.80, 12,514.20 and 3,413.14 is: 5,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.80 : 12,514.20 = 3,413.14 : x
  2. Step 2: Convert to fraction form
    8,342.80/12,514.20 = 3,413.14/x
  3. Step 3: Cross multiply
    8,342.80x = 12,514.20 × 3,413.14
  4. Step 4: Simplify right side
    8,342.80x = 42,712,716.59
  5. Step 5: Solve for x
    x = 42,712,716.59/8,342.80
  6. Step 6: Final answer
    x = 5,119.71

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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.