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Finding the Fourth Proportional to 20,175.20, 30,190.80 and 12,783.20

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Solution

The fourth proportional to 20,175.20, 30,190.80 and 12,783.20 is: 19,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.20 : 30,190.80 = 12,783.20 : x
  2. Step 2: Convert to fraction form
    20,175.20/30,190.80 = 12,783.20/x
  3. Step 3: Cross multiply
    20,175.20x = 30,190.80 × 12,783.20
  4. Step 4: Simplify right side
    20,175.20x = 385,935,034.56
  5. Step 5: Solve for x
    x = 385,935,034.56/20,175.20
  6. Step 6: Final answer
    x = 19,129.18

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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.