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Finding the Fourth Proportional to 2,619, 3,928.68 and 1,138.32

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Solution

The fourth proportional to 2,619, 3,928.68 and 1,138.32 is: 1,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619 : 3,928.68 = 1,138.32 : x
  2. Step 2: Convert to fraction form
    2,619/3,928.68 = 1,138.32/x
  3. Step 3: Cross multiply
    2,619x = 3,928.68 × 1,138.32
  4. Step 4: Simplify right side
    2,619x = 4,472,095.02
  5. Step 5: Solve for x
    x = 4,472,095.02/2,619
  6. Step 6: Final answer
    x = 1,707.56

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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.