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Finding the Fourth Proportional to 9,928.48, 13,689.52 and 8,227.44

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Solution

The fourth proportional to 9,928.48, 13,689.52 and 8,227.44 is: 11,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.48 : 13,689.52 = 8,227.44 : x
  2. Step 2: Convert to fraction form
    9,928.48/13,689.52 = 8,227.44/x
  3. Step 3: Cross multiply
    9,928.48x = 13,689.52 × 8,227.44
  4. Step 4: Simplify right side
    9,928.48x = 112,629,704.43
  5. Step 5: Solve for x
    x = 112,629,704.43/9,928.48
  6. Step 6: Final answer
    x = 11,344.10

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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.