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Finding the Fourth Proportional to 23,105.80, 34,666.80 and 8,315.20

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Solution

The fourth proportional to 23,105.80, 34,666.80 and 8,315.20 is: 12,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.80 : 34,666.80 = 8,315.20 : x
  2. Step 2: Convert to fraction form
    23,105.80/34,666.80 = 8,315.20/x
  3. Step 3: Cross multiply
    23,105.80x = 34,666.80 × 8,315.20
  4. Step 4: Simplify right side
    23,105.80x = 288,261,375.36
  5. Step 5: Solve for x
    x = 288,261,375.36/23,105.80
  6. Step 6: Final answer
    x = 12,475.71

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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.