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Finding the Fourth Proportional to 5,287.82, 7,933.41 and 3,314.66

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Solution

The fourth proportional to 5,287.82, 7,933.41 and 3,314.66 is: 4,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.82 : 7,933.41 = 3,314.66 : x
  2. Step 2: Convert to fraction form
    5,287.82/7,933.41 = 3,314.66/x
  3. Step 3: Cross multiply
    5,287.82x = 7,933.41 × 3,314.66
  4. Step 4: Simplify right side
    5,287.82x = 26,296,517.12
  5. Step 5: Solve for x
    x = 26,296,517.12/5,287.82
  6. Step 6: Final answer
    x = 4,973.04

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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.