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Finding the Fourth Proportional to 3,202.72, 4,419.84 and 1,960

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Solution

The fourth proportional to 3,202.72, 4,419.84 and 1,960 is: 2,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.72 : 4,419.84 = 1,960 : x
  2. Step 2: Convert to fraction form
    3,202.72/4,419.84 = 1,960/x
  3. Step 3: Cross multiply
    3,202.72x = 4,419.84 × 1,960
  4. Step 4: Simplify right side
    3,202.72x = 8,662,886.40
  5. Step 5: Solve for x
    x = 8,662,886.40/3,202.72
  6. Step 6: Final answer
    x = 2,704.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.