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Finding the Fourth Proportional to 23,820.80, 32,872.80 and 13,211.20

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Solution

The fourth proportional to 23,820.80, 32,872.80 and 13,211.20 is: 18,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.80 : 32,872.80 = 13,211.20 : x
  2. Step 2: Convert to fraction form
    23,820.80/32,872.80 = 13,211.20/x
  3. Step 3: Cross multiply
    23,820.80x = 32,872.80 × 13,211.20
  4. Step 4: Simplify right side
    23,820.80x = 434,289,135.36
  5. Step 5: Solve for x
    x = 434,289,135.36/23,820.80
  6. Step 6: Final answer
    x = 18,231.51

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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.