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Finding the Fourth Proportional to 27,234.80, 40,819.80 and 14,080.40

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Solution

The fourth proportional to 27,234.80, 40,819.80 and 14,080.40 is: 21,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,234.80 : 40,819.80 = 14,080.40 : x
  2. Step 2: Convert to fraction form
    27,234.80/40,819.80 = 14,080.40/x
  3. Step 3: Cross multiply
    27,234.80x = 40,819.80 × 14,080.40
  4. Step 4: Simplify right side
    27,234.80x = 574,759,111.92
  5. Step 5: Solve for x
    x = 574,759,111.92/27,234.80
  6. Step 6: Final answer
    x = 21,103.85

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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.