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Finding the Fourth Proportional to 10,376.80, 15,532.80 and 8,173.60

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Solution

The fourth proportional to 10,376.80, 15,532.80 and 8,173.60 is: 12,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.80 : 15,532.80 = 8,173.60 : x
  2. Step 2: Convert to fraction form
    10,376.80/15,532.80 = 8,173.60/x
  3. Step 3: Cross multiply
    10,376.80x = 15,532.80 × 8,173.60
  4. Step 4: Simplify right side
    10,376.80x = 126,958,894.08
  5. Step 5: Solve for x
    x = 126,958,894.08/10,376.80
  6. Step 6: Final answer
    x = 12,234.88

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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.