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Finding the Fourth Proportional to 12,608.72, 18,884.92 and 9,138

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Solution

The fourth proportional to 12,608.72, 18,884.92 and 9,138 is: 13,686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.72 : 18,884.92 = 9,138 : x
  2. Step 2: Convert to fraction form
    12,608.72/18,884.92 = 9,138/x
  3. Step 3: Cross multiply
    12,608.72x = 18,884.92 × 9,138
  4. Step 4: Simplify right side
    12,608.72x = 172,570,398.96
  5. Step 5: Solve for x
    x = 172,570,398.96/12,608.72
  6. Step 6: Final answer
    x = 13,686.59

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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.