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Finding the Fourth Proportional to 6,863.00, 9,470.72 and 3,878.66

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Solution

The fourth proportional to 6,863.00, 9,470.72 and 3,878.66 is: 5,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.00 : 9,470.72 = 3,878.66 : x
  2. Step 2: Convert to fraction form
    6,863.00/9,470.72 = 3,878.66/x
  3. Step 3: Cross multiply
    6,863.00x = 9,470.72 × 3,878.66
  4. Step 4: Simplify right side
    6,863.00x = 36,733,636.09
  5. Step 5: Solve for x
    x = 36,733,636.09/6,863.00
  6. Step 6: Final answer
    x = 5,352.42

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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.