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Finding the Fourth Proportional to 20,380.64, 30,571 and 5,589.76

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Solution

The fourth proportional to 20,380.64, 30,571 and 5,589.76 is: 8,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,380.64 : 30,571 = 5,589.76 : x
  2. Step 2: Convert to fraction form
    20,380.64/30,571 = 5,589.76/x
  3. Step 3: Cross multiply
    20,380.64x = 30,571 × 5,589.76
  4. Step 4: Simplify right side
    20,380.64x = 170,884,552.96
  5. Step 5: Solve for x
    x = 170,884,552.96/20,380.64
  6. Step 6: Final answer
    x = 8,384.65

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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.