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Finding the Fourth Proportional to 12,589.56, 18,876 and 7,043.48

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Solution

The fourth proportional to 12,589.56, 18,876 and 7,043.48 is: 10,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.56 : 18,876 = 7,043.48 : x
  2. Step 2: Convert to fraction form
    12,589.56/18,876 = 7,043.48/x
  3. Step 3: Cross multiply
    12,589.56x = 18,876 × 7,043.48
  4. Step 4: Simplify right side
    12,589.56x = 132,952,728.48
  5. Step 5: Solve for x
    x = 132,952,728.48/12,589.56
  6. Step 6: Final answer
    x = 10,560.55

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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.