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Finding the Fourth Proportional to 9,306.97, 13,947.30 and 7,217.26

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Solution

The fourth proportional to 9,306.97, 13,947.30 and 7,217.26 is: 10,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.97 : 13,947.30 = 7,217.26 : x
  2. Step 2: Convert to fraction form
    9,306.97/13,947.30 = 7,217.26/x
  3. Step 3: Cross multiply
    9,306.97x = 13,947.30 × 7,217.26
  4. Step 4: Simplify right side
    9,306.97x = 100,661,290.40
  5. Step 5: Solve for x
    x = 100,661,290.40/9,306.97
  6. Step 6: Final answer
    x = 10,815.69

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1.5x scale

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.