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Finding the Fourth Proportional to 27,378.29, 41,071.48 and 8,654.08

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Solution

The fourth proportional to 27,378.29, 41,071.48 and 8,654.08 is: 12,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.29 : 41,071.48 = 8,654.08 : x
  2. Step 2: Convert to fraction form
    27,378.29/41,071.48 = 8,654.08/x
  3. Step 3: Cross multiply
    27,378.29x = 41,071.48 × 8,654.08
  4. Step 4: Simplify right side
    27,378.29x = 355,435,625.01
  5. Step 5: Solve for x
    x = 355,435,625.01/27,378.29
  6. Step 6: Final answer
    x = 12,982.39

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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.