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Finding the Fourth Proportional to 2,104.81, 3,157.22 and 643.96

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Solution

The fourth proportional to 2,104.81, 3,157.22 and 643.96 is: 965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.81 : 3,157.22 = 643.96 : x
  2. Step 2: Convert to fraction form
    2,104.81/3,157.22 = 643.96/x
  3. Step 3: Cross multiply
    2,104.81x = 3,157.22 × 643.96
  4. Step 4: Simplify right side
    2,104.81x = 2,033,123.39
  5. Step 5: Solve for x
    x = 2,033,123.39/2,104.81
  6. Step 6: Final answer
    x = 965.94

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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.