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Finding the Fourth Proportional to 18,328.78, 27,493.17 and 6,642

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Solution

The fourth proportional to 18,328.78, 27,493.17 and 6,642 is: 9,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,328.78 : 27,493.17 = 6,642 : x
  2. Step 2: Convert to fraction form
    18,328.78/27,493.17 = 6,642/x
  3. Step 3: Cross multiply
    18,328.78x = 27,493.17 × 6,642
  4. Step 4: Simplify right side
    18,328.78x = 182,609,647.59
  5. Step 5: Solve for x
    x = 182,609,647.59/18,328.78
  6. Step 6: Final answer
    x = 9,963

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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.