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Finding the Fourth Proportional to 2,091.75, 3,137.90 and 630.92

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Solution

The fourth proportional to 2,091.75, 3,137.90 and 630.92 is: 946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.75 : 3,137.90 = 630.92 : x
  2. Step 2: Convert to fraction form
    2,091.75/3,137.90 = 630.92/x
  3. Step 3: Cross multiply
    2,091.75x = 3,137.90 × 630.92
  4. Step 4: Simplify right side
    2,091.75x = 1,979,745.02
  5. Step 5: Solve for x
    x = 1,979,745.02/2,091.75
  6. Step 6: Final answer
    x = 946.45

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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.