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Finding the Fourth Proportional to 18,243, 27,368.10 and 5,764.86

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Solution

The fourth proportional to 18,243, 27,368.10 and 5,764.86 is: 8,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243 : 27,368.10 = 5,764.86 : x
  2. Step 2: Convert to fraction form
    18,243/27,368.10 = 5,764.86/x
  3. Step 3: Cross multiply
    18,243x = 27,368.10 × 5,764.86
  4. Step 4: Simplify right side
    18,243x = 157,773,264.97
  5. Step 5: Solve for x
    x = 157,773,264.97/18,243
  6. Step 6: Final answer
    x = 8,648.43

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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.