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Finding the Fourth Proportional to 3,564.78, 4,919.55 and 1,992.88

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Solution

The fourth proportional to 3,564.78, 4,919.55 and 1,992.88 is: 2,750.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.78 : 4,919.55 = 1,992.88 : x
  2. Step 2: Convert to fraction form
    3,564.78/4,919.55 = 1,992.88/x
  3. Step 3: Cross multiply
    3,564.78x = 4,919.55 × 1,992.88
  4. Step 4: Simplify right side
    3,564.78x = 9,804,072.80
  5. Step 5: Solve for x
    x = 9,804,072.80/3,564.78
  6. Step 6: Final answer
    x = 2,750.26

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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.