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Finding the Fourth Proportional to 2,850.78, 3,933.84 and 1,655.52

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Solution

The fourth proportional to 2,850.78, 3,933.84 and 1,655.52 is: 2,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.78 : 3,933.84 = 1,655.52 : x
  2. Step 2: Convert to fraction form
    2,850.78/3,933.84 = 1,655.52/x
  3. Step 3: Cross multiply
    2,850.78x = 3,933.84 × 1,655.52
  4. Step 4: Simplify right side
    2,850.78x = 6,512,550.80
  5. Step 5: Solve for x
    x = 6,512,550.80/2,850.78
  6. Step 6: Final answer
    x = 2,284.48

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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.