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Finding the Fourth Proportional to 27,408, 41,118.50 and 8,940

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Solution

The fourth proportional to 27,408, 41,118.50 and 8,940 is: 13,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 41,118.50 = 8,940 : x
  2. Step 2: Convert to fraction form
    27,408/41,118.50 = 8,940/x
  3. Step 3: Cross multiply
    27,408x = 41,118.50 × 8,940
  4. Step 4: Simplify right side
    27,408x = 367,599,390
  5. Step 5: Solve for x
    x = 367,599,390/27,408
  6. Step 6: Final answer
    x = 13,412.12

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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.