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Finding the Fourth Proportional to 2,763.78, 3,813.39 and 1,584.24

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Solution

The fourth proportional to 2,763.78, 3,813.39 and 1,584.24 is: 2,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.78 : 3,813.39 = 1,584.24 : x
  2. Step 2: Convert to fraction form
    2,763.78/3,813.39 = 1,584.24/x
  3. Step 3: Cross multiply
    2,763.78x = 3,813.39 × 1,584.24
  4. Step 4: Simplify right side
    2,763.78x = 6,041,324.97
  5. Step 5: Solve for x
    x = 6,041,324.97/2,763.78
  6. Step 6: Final answer
    x = 2,185.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.