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Finding the Fourth Proportional to 2,939.38, 4,407.96 and 964.53

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Solution

The fourth proportional to 2,939.38, 4,407.96 and 964.53 is: 1,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.38 : 4,407.96 = 964.53 : x
  2. Step 2: Convert to fraction form
    2,939.38/4,407.96 = 964.53/x
  3. Step 3: Cross multiply
    2,939.38x = 4,407.96 × 964.53
  4. Step 4: Simplify right side
    2,939.38x = 4,251,615.86
  5. Step 5: Solve for x
    x = 4,251,615.86/2,939.38
  6. Step 6: Final answer
    x = 1,446.43

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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.