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Finding the Fourth Proportional to 7,896.24, 10,896.72 and 4,311.24

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Solution

The fourth proportional to 7,896.24, 10,896.72 and 4,311.24 is: 5,949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.24 : 10,896.72 = 4,311.24 : x
  2. Step 2: Convert to fraction form
    7,896.24/10,896.72 = 4,311.24/x
  3. Step 3: Cross multiply
    7,896.24x = 10,896.72 × 4,311.24
  4. Step 4: Simplify right side
    7,896.24x = 46,978,375.13
  5. Step 5: Solve for x
    x = 46,978,375.13/7,896.24
  6. Step 6: Final answer
    x = 5,949.46

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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.