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Finding the Fourth Proportional to 20,255.94, 30,375 and 9,162.18

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Solution

The fourth proportional to 20,255.94, 30,375 and 9,162.18 is: 13,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.94 : 30,375 = 9,162.18 : x
  2. Step 2: Convert to fraction form
    20,255.94/30,375 = 9,162.18/x
  3. Step 3: Cross multiply
    20,255.94x = 30,375 × 9,162.18
  4. Step 4: Simplify right side
    20,255.94x = 278,301,217.50
  5. Step 5: Solve for x
    x = 278,301,217.50/20,255.94
  6. Step 6: Final answer
    x = 13,739.24

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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.