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Finding the Fourth Proportional to 12,546.41, 18,819.03 and 5,149.04

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Solution

The fourth proportional to 12,546.41, 18,819.03 and 5,149.04 is: 7,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.41 : 18,819.03 = 5,149.04 : x
  2. Step 2: Convert to fraction form
    12,546.41/18,819.03 = 5,149.04/x
  3. Step 3: Cross multiply
    12,546.41x = 18,819.03 × 5,149.04
  4. Step 4: Simplify right side
    12,546.41x = 96,899,938.23
  5. Step 5: Solve for x
    x = 96,899,938.23/12,546.41
  6. Step 6: Final answer
    x = 7,723.32

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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.