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Finding the Fourth Proportional to 2,228.88, 3,343.32 and 928.83

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Solution

The fourth proportional to 2,228.88, 3,343.32 and 928.83 is: 1,393.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.88 : 3,343.32 = 928.83 : x
  2. Step 2: Convert to fraction form
    2,228.88/3,343.32 = 928.83/x
  3. Step 3: Cross multiply
    2,228.88x = 3,343.32 × 928.83
  4. Step 4: Simplify right side
    2,228.88x = 3,105,375.92
  5. Step 5: Solve for x
    x = 3,105,375.92/2,228.88
  6. Step 6: Final answer
    x = 1,393.25

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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.