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Finding the Fourth Proportional to 7,728.88, 11,560.23 and 7,168.63

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Solution

The fourth proportional to 7,728.88, 11,560.23 and 7,168.63 is: 10,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.88 : 11,560.23 = 7,168.63 : x
  2. Step 2: Convert to fraction form
    7,728.88/11,560.23 = 7,168.63/x
  3. Step 3: Cross multiply
    7,728.88x = 11,560.23 × 7,168.63
  4. Step 4: Simplify right side
    7,728.88x = 82,870,982.68
  5. Step 5: Solve for x
    x = 82,870,982.68/7,728.88
  6. Step 6: Final answer
    x = 10,722.25

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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.