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Finding the Fourth Proportional to 12,081.96, 18,125.82 and 5,157

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Solution

The fourth proportional to 12,081.96, 18,125.82 and 5,157 is: 7,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.96 : 18,125.82 = 5,157 : x
  2. Step 2: Convert to fraction form
    12,081.96/18,125.82 = 5,157/x
  3. Step 3: Cross multiply
    12,081.96x = 18,125.82 × 5,157
  4. Step 4: Simplify right side
    12,081.96x = 93,474,853.74
  5. Step 5: Solve for x
    x = 93,474,853.74/12,081.96
  6. Step 6: Final answer
    x = 7,736.73

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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.