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Finding the Fourth Proportional to 2,105.44, 3,157.95 and 644.61

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Solution

The fourth proportional to 2,105.44, 3,157.95 and 644.61 is: 966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.44 : 3,157.95 = 644.61 : x
  2. Step 2: Convert to fraction form
    2,105.44/3,157.95 = 644.61/x
  3. Step 3: Cross multiply
    2,105.44x = 3,157.95 × 644.61
  4. Step 4: Simplify right side
    2,105.44x = 2,035,646.15
  5. Step 5: Solve for x
    x = 2,035,646.15/2,105.44
  6. Step 6: Final answer
    x = 966.85

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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.