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Finding the Fourth Proportional to 15,914.80, 23,872.20 and 8,138.80

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Solution

The fourth proportional to 15,914.80, 23,872.20 and 8,138.80 is: 12,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.80 : 23,872.20 = 8,138.80 : x
  2. Step 2: Convert to fraction form
    15,914.80/23,872.20 = 8,138.80/x
  3. Step 3: Cross multiply
    15,914.80x = 23,872.20 × 8,138.80
  4. Step 4: Simplify right side
    15,914.80x = 194,291,061.36
  5. Step 5: Solve for x
    x = 194,291,061.36/15,914.80
  6. Step 6: Final answer
    x = 12,208.20

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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.