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Finding the Fourth Proportional to 7,150.56, 10,725.36 and 1,956

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Solution

The fourth proportional to 7,150.56, 10,725.36 and 1,956 is: 2,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.56 : 10,725.36 = 1,956 : x
  2. Step 2: Convert to fraction form
    7,150.56/10,725.36 = 1,956/x
  3. Step 3: Cross multiply
    7,150.56x = 10,725.36 × 1,956
  4. Step 4: Simplify right side
    7,150.56x = 20,978,804.16
  5. Step 5: Solve for x
    x = 20,978,804.16/7,150.56
  6. Step 6: Final answer
    x = 2,933.87

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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.