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Finding the Fourth Proportional to 20,217, 30,291.96 and 12,295.55

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Solution

The fourth proportional to 20,217, 30,291.96 and 12,295.55 is: 18,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 30,291.96 = 12,295.55 : x
  2. Step 2: Convert to fraction form
    20,217/30,291.96 = 12,295.55/x
  3. Step 3: Cross multiply
    20,217x = 30,291.96 × 12,295.55
  4. Step 4: Simplify right side
    20,217x = 372,456,157.32
  5. Step 5: Solve for x
    x = 372,456,157.32/20,217
  6. Step 6: Final answer
    x = 18,422.92

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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.