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Finding the Fourth Proportional to 2,628.96, 3,944.96 and 1,069.12

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Solution

The fourth proportional to 2,628.96, 3,944.96 and 1,069.12 is: 1,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.96 : 3,944.96 = 1,069.12 : x
  2. Step 2: Convert to fraction form
    2,628.96/3,944.96 = 1,069.12/x
  3. Step 3: Cross multiply
    2,628.96x = 3,944.96 × 1,069.12
  4. Step 4: Simplify right side
    2,628.96x = 4,217,635.64
  5. Step 5: Solve for x
    x = 4,217,635.64/2,628.96
  6. Step 6: Final answer
    x = 1,604.30

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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.