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Finding the Fourth Proportional to 20,482.72, 30,724.68 and 8,002.24

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Solution

The fourth proportional to 20,482.72, 30,724.68 and 8,002.24 is: 12,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.72 : 30,724.68 = 8,002.24 : x
  2. Step 2: Convert to fraction form
    20,482.72/30,724.68 = 8,002.24/x
  3. Step 3: Cross multiply
    20,482.72x = 30,724.68 × 8,002.24
  4. Step 4: Simplify right side
    20,482.72x = 245,866,216.48
  5. Step 5: Solve for x
    x = 245,866,216.48/20,482.72
  6. Step 6: Final answer
    x = 12,003.59

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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.