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Finding the Fourth Proportional to 22,284.40, 33,415.80 and 12,413.20

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Solution

The fourth proportional to 22,284.40, 33,415.80 and 12,413.20 is: 18,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.40 : 33,415.80 = 12,413.20 : x
  2. Step 2: Convert to fraction form
    22,284.40/33,415.80 = 12,413.20/x
  3. Step 3: Cross multiply
    22,284.40x = 33,415.80 × 12,413.20
  4. Step 4: Simplify right side
    22,284.40x = 414,797,008.56
  5. Step 5: Solve for x
    x = 414,797,008.56/22,284.40
  6. Step 6: Final answer
    x = 18,613.78

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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.