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Finding the Fourth Proportional to 2,105.40, 3,157.97 and 644.43

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Solution

The fourth proportional to 2,105.40, 3,157.97 and 644.43 is: 966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.40 : 3,157.97 = 644.43 : x
  2. Step 2: Convert to fraction form
    2,105.40/3,157.97 = 644.43/x
  3. Step 3: Cross multiply
    2,105.40x = 3,157.97 × 644.43
  4. Step 4: Simplify right side
    2,105.40x = 2,035,090.61
  5. Step 5: Solve for x
    x = 2,035,090.61/2,105.40
  6. Step 6: Final answer
    x = 966.61

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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.