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Finding the Fourth Proportional to 2,093.78, 3,140.16 and 633.05

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Solution

The fourth proportional to 2,093.78, 3,140.16 and 633.05 is: 949.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.78 : 3,140.16 = 633.05 : x
  2. Step 2: Convert to fraction form
    2,093.78/3,140.16 = 633.05/x
  3. Step 3: Cross multiply
    2,093.78x = 3,140.16 × 633.05
  4. Step 4: Simplify right side
    2,093.78x = 1,987,878.29
  5. Step 5: Solve for x
    x = 1,987,878.29/2,093.78
  6. Step 6: Final answer
    x = 949.42

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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.