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Finding the Fourth Proportional to 9,143.91, 13,689.13 and 8,268.44

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Solution

The fourth proportional to 9,143.91, 13,689.13 and 8,268.44 is: 12,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.91 : 13,689.13 = 8,268.44 : x
  2. Step 2: Convert to fraction form
    9,143.91/13,689.13 = 8,268.44/x
  3. Step 3: Cross multiply
    9,143.91x = 13,689.13 × 8,268.44
  4. Step 4: Simplify right side
    9,143.91x = 113,187,750.06
  5. Step 5: Solve for x
    x = 113,187,750.06/9,143.91
  6. Step 6: Final answer
    x = 12,378.48

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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.