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Finding the Fourth Proportional to 20,379.12, 30,582.24 and 8,381.12

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Solution

The fourth proportional to 20,379.12, 30,582.24 and 8,381.12 is: 12,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,379.12 : 30,582.24 = 8,381.12 : x
  2. Step 2: Convert to fraction form
    20,379.12/30,582.24 = 8,381.12/x
  3. Step 3: Cross multiply
    20,379.12x = 30,582.24 × 8,381.12
  4. Step 4: Simplify right side
    20,379.12x = 256,313,423.31
  5. Step 5: Solve for x
    x = 256,313,423.31/20,379.12
  6. Step 6: Final answer
    x = 12,577.26

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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.