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Finding the Fourth Proportional to 5,687.08, 7,849.38 and 3,823

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Solution

The fourth proportional to 5,687.08, 7,849.38 and 3,823 is: 5,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.08 : 7,849.38 = 3,823 : x
  2. Step 2: Convert to fraction form
    5,687.08/7,849.38 = 3,823/x
  3. Step 3: Cross multiply
    5,687.08x = 7,849.38 × 3,823
  4. Step 4: Simplify right side
    5,687.08x = 30,008,179.74
  5. Step 5: Solve for x
    x = 30,008,179.74/5,687.08
  6. Step 6: Final answer
    x = 5,276.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.