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Finding the Fourth Proportional to 4,834.38, 7,238.95 and 2,638.57

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Solution

The fourth proportional to 4,834.38, 7,238.95 and 2,638.57 is: 3,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.38 : 7,238.95 = 2,638.57 : x
  2. Step 2: Convert to fraction form
    4,834.38/7,238.95 = 2,638.57/x
  3. Step 3: Cross multiply
    4,834.38x = 7,238.95 × 2,638.57
  4. Step 4: Simplify right side
    4,834.38x = 19,100,476.30
  5. Step 5: Solve for x
    x = 19,100,476.30/4,834.38
  6. Step 6: Final answer
    x = 3,950.97

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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.