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Finding the Fourth Proportional to 2,938.62, 4,408.44 and 964.72

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Solution

The fourth proportional to 2,938.62, 4,408.44 and 964.72 is: 1,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.62 : 4,408.44 = 964.72 : x
  2. Step 2: Convert to fraction form
    2,938.62/4,408.44 = 964.72/x
  3. Step 3: Cross multiply
    2,938.62x = 4,408.44 × 964.72
  4. Step 4: Simplify right side
    2,938.62x = 4,252,910.24
  5. Step 5: Solve for x
    x = 4,252,910.24/2,938.62
  6. Step 6: Final answer
    x = 1,447.25

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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.