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Finding the Fourth Proportional to 9,194.97, 12,689.99 and 5,419.31

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Solution

The fourth proportional to 9,194.97, 12,689.99 and 5,419.31 is: 7,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.97 : 12,689.99 = 5,419.31 : x
  2. Step 2: Convert to fraction form
    9,194.97/12,689.99 = 5,419.31/x
  3. Step 3: Cross multiply
    9,194.97x = 12,689.99 × 5,419.31
  4. Step 4: Simplify right side
    9,194.97x = 68,770,989.71
  5. Step 5: Solve for x
    x = 68,770,989.71/9,194.97
  6. Step 6: Final answer
    x = 7,479.20

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1.5x scale

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.