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Finding the Fourth Proportional to 7,163.59, 9,885.70 and 3,976.80

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Solution

The fourth proportional to 7,163.59, 9,885.70 and 3,976.80 is: 5,487.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.59 : 9,885.70 = 3,976.80 : x
  2. Step 2: Convert to fraction form
    7,163.59/9,885.70 = 3,976.80/x
  3. Step 3: Cross multiply
    7,163.59x = 9,885.70 × 3,976.80
  4. Step 4: Simplify right side
    7,163.59x = 39,313,397.29
  5. Step 5: Solve for x
    x = 39,313,397.29/7,163.59
  6. Step 6: Final answer
    x = 5,487.95

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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.