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Finding the Fourth Proportional to 2,650.92, 3,975 and 919.14

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Solution

The fourth proportional to 2,650.92, 3,975 and 919.14 is: 1,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.92 : 3,975 = 919.14 : x
  2. Step 2: Convert to fraction form
    2,650.92/3,975 = 919.14/x
  3. Step 3: Cross multiply
    2,650.92x = 3,975 × 919.14
  4. Step 4: Simplify right side
    2,650.92x = 3,653,581.50
  5. Step 5: Solve for x
    x = 3,653,581.50/2,650.92
  6. Step 6: Final answer
    x = 1,378.23

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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.