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Finding the Fourth Proportional to 9,163.43, 13,721.88 and 7,678.75

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Solution

The fourth proportional to 9,163.43, 13,721.88 and 7,678.75 is: 11,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.43 : 13,721.88 = 7,678.75 : x
  2. Step 2: Convert to fraction form
    9,163.43/13,721.88 = 7,678.75/x
  3. Step 3: Cross multiply
    9,163.43x = 13,721.88 × 7,678.75
  4. Step 4: Simplify right side
    9,163.43x = 105,366,886.05
  5. Step 5: Solve for x
    x = 105,366,886.05/9,163.43
  6. Step 6: Final answer
    x = 11,498.63

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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.