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Finding the Fourth Proportional to 7,964.49, 10,993.98 and 5,980.78

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Solution

The fourth proportional to 7,964.49, 10,993.98 and 5,980.78 is: 8,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.49 : 10,993.98 = 5,980.78 : x
  2. Step 2: Convert to fraction form
    7,964.49/10,993.98 = 5,980.78/x
  3. Step 3: Cross multiply
    7,964.49x = 10,993.98 × 5,980.78
  4. Step 4: Simplify right side
    7,964.49x = 65,752,611.87
  5. Step 5: Solve for x
    x = 65,752,611.87/7,964.49
  6. Step 6: Final answer
    x = 8,255.72

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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.