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Finding the Fourth Proportional to 2,874.70, 4,310.96 and 926.38

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Solution

The fourth proportional to 2,874.70, 4,310.96 and 926.38 is: 1,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.70 : 4,310.96 = 926.38 : x
  2. Step 2: Convert to fraction form
    2,874.70/4,310.96 = 926.38/x
  3. Step 3: Cross multiply
    2,874.70x = 4,310.96 × 926.38
  4. Step 4: Simplify right side
    2,874.70x = 3,993,565.57
  5. Step 5: Solve for x
    x = 3,993,565.57/2,874.70
  6. Step 6: Final answer
    x = 1,389.21

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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.