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Finding the Fourth Proportional to 15,220.85, 22,815.61 and 7,311.49

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Solution

The fourth proportional to 15,220.85, 22,815.61 and 7,311.49 is: 10,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,220.85 : 22,815.61 = 7,311.49 : x
  2. Step 2: Convert to fraction form
    15,220.85/22,815.61 = 7,311.49/x
  3. Step 3: Cross multiply
    15,220.85x = 22,815.61 × 7,311.49
  4. Step 4: Simplify right side
    15,220.85x = 166,816,029.04
  5. Step 5: Solve for x
    x = 166,816,029.04/15,220.85
  6. Step 6: Final answer
    x = 10,959.71

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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.