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Finding the Fourth Proportional to 12,493.80, 17,243.85 and 8,023.20

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Solution

The fourth proportional to 12,493.80, 17,243.85 and 8,023.20 is: 11,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.80 : 17,243.85 = 8,023.20 : x
  2. Step 2: Convert to fraction form
    12,493.80/17,243.85 = 8,023.20/x
  3. Step 3: Cross multiply
    12,493.80x = 17,243.85 × 8,023.20
  4. Step 4: Simplify right side
    12,493.80x = 138,350,857.32
  5. Step 5: Solve for x
    x = 138,350,857.32/12,493.80
  6. Step 6: Final answer
    x = 11,073.56

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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.