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Finding the Fourth Proportional to 18,180, 27,275.04 and 5,868

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Solution

The fourth proportional to 18,180, 27,275.04 and 5,868 is: 8,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,180 : 27,275.04 = 5,868 : x
  2. Step 2: Convert to fraction form
    18,180/27,275.04 = 5,868/x
  3. Step 3: Cross multiply
    18,180x = 27,275.04 × 5,868
  4. Step 4: Simplify right side
    18,180x = 160,049,934.72
  5. Step 5: Solve for x
    x = 160,049,934.72/18,180
  6. Step 6: Final answer
    x = 8,803.63

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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.