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Finding the Fourth Proportional to 5,234.80, 7,843.80 and 2,766.40

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Solution

The fourth proportional to 5,234.80, 7,843.80 and 2,766.40 is: 4,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.80 : 7,843.80 = 2,766.40 : x
  2. Step 2: Convert to fraction form
    5,234.80/7,843.80 = 2,766.40/x
  3. Step 3: Cross multiply
    5,234.80x = 7,843.80 × 2,766.40
  4. Step 4: Simplify right side
    5,234.80x = 21,699,088.32
  5. Step 5: Solve for x
    x = 21,699,088.32/5,234.80
  6. Step 6: Final answer
    x = 4,145.16

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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.