Home / 2,152.88-3,226.84-919.52

Finding the Fourth Proportional to 2,152.88, 3,226.84 and 919.52

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Solution

The fourth proportional to 2,152.88, 3,226.84 and 919.52 is: 1,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.88 : 3,226.84 = 919.52 : x
  2. Step 2: Convert to fraction form
    2,152.88/3,226.84 = 919.52/x
  3. Step 3: Cross multiply
    2,152.88x = 3,226.84 × 919.52
  4. Step 4: Simplify right side
    2,152.88x = 2,967,143.92
  5. Step 5: Solve for x
    x = 2,967,143.92/2,152.88
  6. Step 6: Final answer
    x = 1,378.22

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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.