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Finding the Fourth Proportional to 2,151.88, 3,227.96 and 919.28

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Solution

The fourth proportional to 2,151.88, 3,227.96 and 919.28 is: 1,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.88 : 3,227.96 = 919.28 : x
  2. Step 2: Convert to fraction form
    2,151.88/3,227.96 = 919.28/x
  3. Step 3: Cross multiply
    2,151.88x = 3,227.96 × 919.28
  4. Step 4: Simplify right side
    2,151.88x = 2,967,409.44
  5. Step 5: Solve for x
    x = 2,967,409.44/2,151.88
  6. Step 6: Final answer
    x = 1,378.99

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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.