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Finding the Fourth Proportional to 27,808.20, 41,715 and 8,086.32

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Solution

The fourth proportional to 27,808.20, 41,715 and 8,086.32 is: 12,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.20 : 41,715 = 8,086.32 : x
  2. Step 2: Convert to fraction form
    27,808.20/41,715 = 8,086.32/x
  3. Step 3: Cross multiply
    27,808.20x = 41,715 × 8,086.32
  4. Step 4: Simplify right side
    27,808.20x = 337,320,838.80
  5. Step 5: Solve for x
    x = 337,320,838.80/27,808.20
  6. Step 6: Final answer
    x = 12,130.27

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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.