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Finding the Fourth Proportional to 12,589.22, 18,873.81 and 8,151.44

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Solution

The fourth proportional to 12,589.22, 18,873.81 and 8,151.44 is: 12,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.22 : 18,873.81 = 8,151.44 : x
  2. Step 2: Convert to fraction form
    12,589.22/18,873.81 = 8,151.44/x
  3. Step 3: Cross multiply
    12,589.22x = 18,873.81 × 8,151.44
  4. Step 4: Simplify right side
    12,589.22x = 153,848,635.42
  5. Step 5: Solve for x
    x = 153,848,635.42/12,589.22
  6. Step 6: Final answer
    x = 12,220.66

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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.