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Finding the Fourth Proportional to 20,231.60, 30,340.20 and 9,143.60

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Solution

The fourth proportional to 20,231.60, 30,340.20 and 9,143.60 is: 13,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.60 : 30,340.20 = 9,143.60 : x
  2. Step 2: Convert to fraction form
    20,231.60/30,340.20 = 9,143.60/x
  3. Step 3: Cross multiply
    20,231.60x = 30,340.20 × 9,143.60
  4. Step 4: Simplify right side
    20,231.60x = 277,418,652.72
  5. Step 5: Solve for x
    x = 277,418,652.72/20,231.60
  6. Step 6: Final answer
    x = 13,712.15

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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.