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Finding the Fourth Proportional to 20,218.20, 30,321.90 and 6,178.20

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Solution

The fourth proportional to 20,218.20, 30,321.90 and 6,178.20 is: 9,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.20 : 30,321.90 = 6,178.20 : x
  2. Step 2: Convert to fraction form
    20,218.20/30,321.90 = 6,178.20/x
  3. Step 3: Cross multiply
    20,218.20x = 30,321.90 × 6,178.20
  4. Step 4: Simplify right side
    20,218.20x = 187,334,762.58
  5. Step 5: Solve for x
    x = 187,334,762.58/20,218.20
  6. Step 6: Final answer
    x = 9,265.65

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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.