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Finding the Fourth Proportional to 27,402.50, 41,079.08 and 9,860

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Solution

The fourth proportional to 27,402.50, 41,079.08 and 9,860 is: 14,781.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.50 : 41,079.08 = 9,860 : x
  2. Step 2: Convert to fraction form
    27,402.50/41,079.08 = 9,860/x
  3. Step 3: Cross multiply
    27,402.50x = 41,079.08 × 9,860
  4. Step 4: Simplify right side
    27,402.50x = 405,039,728.80
  5. Step 5: Solve for x
    x = 405,039,728.80/27,402.50
  6. Step 6: Final answer
    x = 14,781.12

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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.