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Finding the Fourth Proportional to 5,716.74, 7,879.67 and 3,827.66

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Solution

The fourth proportional to 5,716.74, 7,879.67 and 3,827.66 is: 5,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.74 : 7,879.67 = 3,827.66 : x
  2. Step 2: Convert to fraction form
    5,716.74/7,879.67 = 3,827.66/x
  3. Step 3: Cross multiply
    5,716.74x = 7,879.67 × 3,827.66
  4. Step 4: Simplify right side
    5,716.74x = 30,160,639.14
  5. Step 5: Solve for x
    x = 30,160,639.14/5,716.74
  6. Step 6: Final answer
    x = 5,275.85

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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.