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Finding the Fourth Proportional to 18,033, 27,053.82 and 5,721

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Solution

The fourth proportional to 18,033, 27,053.82 and 5,721 is: 8,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,033 : 27,053.82 = 5,721 : x
  2. Step 2: Convert to fraction form
    18,033/27,053.82 = 5,721/x
  3. Step 3: Cross multiply
    18,033x = 27,053.82 × 5,721
  4. Step 4: Simplify right side
    18,033x = 154,774,904.22
  5. Step 5: Solve for x
    x = 154,774,904.22/18,033
  6. Step 6: Final answer
    x = 8,582.87

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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.