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Finding the Fourth Proportional to 2,094.72, 3,141.90 and 634.20

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Solution

The fourth proportional to 2,094.72, 3,141.90 and 634.20 is: 951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.72 : 3,141.90 = 634.20 : x
  2. Step 2: Convert to fraction form
    2,094.72/3,141.90 = 634.20/x
  3. Step 3: Cross multiply
    2,094.72x = 3,141.90 × 634.20
  4. Step 4: Simplify right side
    2,094.72x = 1,992,592.98
  5. Step 5: Solve for x
    x = 1,992,592.98/2,094.72
  6. Step 6: Final answer
    x = 951.25

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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.