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Finding the Fourth Proportional to 15,205.44, 20,982.46 and 8,399.16

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Solution

The fourth proportional to 15,205.44, 20,982.46 and 8,399.16 is: 11,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.44 : 20,982.46 = 8,399.16 : x
  2. Step 2: Convert to fraction form
    15,205.44/20,982.46 = 8,399.16/x
  3. Step 3: Cross multiply
    15,205.44x = 20,982.46 × 8,399.16
  4. Step 4: Simplify right side
    15,205.44x = 176,234,891.83
  5. Step 5: Solve for x
    x = 176,234,891.83/15,205.44
  6. Step 6: Final answer
    x = 11,590.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.