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Finding the Fourth Proportional to 10,299.60, 15,481.80 and 10,105.20

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Solution

The fourth proportional to 10,299.60, 15,481.80 and 10,105.20 is: 15,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.60 : 15,481.80 = 10,105.20 : x
  2. Step 2: Convert to fraction form
    10,299.60/15,481.80 = 10,105.20/x
  3. Step 3: Cross multiply
    10,299.60x = 15,481.80 × 10,105.20
  4. Step 4: Simplify right side
    10,299.60x = 156,446,685.36
  5. Step 5: Solve for x
    x = 156,446,685.36/10,299.60
  6. Step 6: Final answer
    x = 15,189.59

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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.