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Finding the Fourth Proportional to 6,429.80, 9,638.22 and 2,963

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Solution

The fourth proportional to 6,429.80, 9,638.22 and 2,963 is: 4,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.80 : 9,638.22 = 2,963 : x
  2. Step 2: Convert to fraction form
    6,429.80/9,638.22 = 2,963/x
  3. Step 3: Cross multiply
    6,429.80x = 9,638.22 × 2,963
  4. Step 4: Simplify right side
    6,429.80x = 28,558,045.86
  5. Step 5: Solve for x
    x = 28,558,045.86/6,429.80
  6. Step 6: Final answer
    x = 4,441.51

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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.