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Finding the Fourth Proportional to 9,867.57, 13,612.19 and 6,680.97

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Solution

The fourth proportional to 9,867.57, 13,612.19 and 6,680.97 is: 9,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.57 : 13,612.19 = 6,680.97 : x
  2. Step 2: Convert to fraction form
    9,867.57/13,612.19 = 6,680.97/x
  3. Step 3: Cross multiply
    9,867.57x = 13,612.19 × 6,680.97
  4. Step 4: Simplify right side
    9,867.57x = 90,942,599.62
  5. Step 5: Solve for x
    x = 90,942,599.62/9,867.57
  6. Step 6: Final answer
    x = 9,216.31

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