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Finding the Fourth Proportional to 36,781, 55,172.62 and 9,079

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Solution

The fourth proportional to 36,781, 55,172.62 and 9,079 is: 13,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,781 : 55,172.62 = 9,079 : x
  2. Step 2: Convert to fraction form
    36,781/55,172.62 = 9,079/x
  3. Step 3: Cross multiply
    36,781x = 55,172.62 × 9,079
  4. Step 4: Simplify right side
    36,781x = 500,912,216.98
  5. Step 5: Solve for x
    x = 500,912,216.98/36,781
  6. Step 6: Final answer
    x = 13,618.78

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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.