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Finding the Fourth Proportional to 7,993.76, 11,928.10 and 7,163.60

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Solution

The fourth proportional to 7,993.76, 11,928.10 and 7,163.60 is: 10,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.76 : 11,928.10 = 7,163.60 : x
  2. Step 2: Convert to fraction form
    7,993.76/11,928.10 = 7,163.60/x
  3. Step 3: Cross multiply
    7,993.76x = 11,928.10 × 7,163.60
  4. Step 4: Simplify right side
    7,993.76x = 85,448,137.16
  5. Step 5: Solve for x
    x = 85,448,137.16/7,993.76
  6. Step 6: Final answer
    x = 10,689.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.