Home / 5,228.97-7,844.31-1,530.78

Finding the Fourth Proportional to 5,228.97, 7,844.31 and 1,530.78

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Solution

The fourth proportional to 5,228.97, 7,844.31 and 1,530.78 is: 2,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.97 : 7,844.31 = 1,530.78 : x
  2. Step 2: Convert to fraction form
    5,228.97/7,844.31 = 1,530.78/x
  3. Step 3: Cross multiply
    5,228.97x = 7,844.31 × 1,530.78
  4. Step 4: Simplify right side
    5,228.97x = 12,007,912.86
  5. Step 5: Solve for x
    x = 12,007,912.86/5,228.97
  6. Step 6: Final answer
    x = 2,296.42

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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.