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Finding the Fourth Proportional to 2,914.78, 4,372.14 and 1,745.11

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Solution

The fourth proportional to 2,914.78, 4,372.14 and 1,745.11 is: 2,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.78 : 4,372.14 = 1,745.11 : x
  2. Step 2: Convert to fraction form
    2,914.78/4,372.14 = 1,745.11/x
  3. Step 3: Cross multiply
    2,914.78x = 4,372.14 × 1,745.11
  4. Step 4: Simplify right side
    2,914.78x = 7,629,865.24
  5. Step 5: Solve for x
    x = 7,629,865.24/2,914.78
  6. Step 6: Final answer
    x = 2,617.65

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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.