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Finding the Fourth Proportional to 6,956.80, 9,600.24 and 4,163.20

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Solution

The fourth proportional to 6,956.80, 9,600.24 and 4,163.20 is: 5,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.80 : 9,600.24 = 4,163.20 : x
  2. Step 2: Convert to fraction form
    6,956.80/9,600.24 = 4,163.20/x
  3. Step 3: Cross multiply
    6,956.80x = 9,600.24 × 4,163.20
  4. Step 4: Simplify right side
    6,956.80x = 39,967,719.17
  5. Step 5: Solve for x
    x = 39,967,719.17/6,956.80
  6. Step 6: Final answer
    x = 5,745.13

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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.