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Finding the Fourth Proportional to 2,105.25, 3,157.26 and 644.51

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Solution

The fourth proportional to 2,105.25, 3,157.26 and 644.51 is: 966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.25 : 3,157.26 = 644.51 : x
  2. Step 2: Convert to fraction form
    2,105.25/3,157.26 = 644.51/x
  3. Step 3: Cross multiply
    2,105.25x = 3,157.26 × 644.51
  4. Step 4: Simplify right side
    2,105.25x = 2,034,885.64
  5. Step 5: Solve for x
    x = 2,034,885.64/2,105.25
  6. Step 6: Final answer
    x = 966.58

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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.