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Finding the Fourth Proportional to 27,179.34, 40,768.79 and 17,878.11

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Solution

The fourth proportional to 27,179.34, 40,768.79 and 17,878.11 is: 26,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179.34 : 40,768.79 = 17,878.11 : x
  2. Step 2: Convert to fraction form
    27,179.34/40,768.79 = 17,878.11/x
  3. Step 3: Cross multiply
    27,179.34x = 40,768.79 × 17,878.11
  4. Step 4: Simplify right side
    27,179.34x = 728,868,822.80
  5. Step 5: Solve for x
    x = 728,868,822.80/27,179.34
  6. Step 6: Final answer
    x = 26,817.02

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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.