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Finding the Fourth Proportional to 2,651.40, 3,976.99 and 896.29

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Solution

The fourth proportional to 2,651.40, 3,976.99 and 896.29 is: 1,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.40 : 3,976.99 = 896.29 : x
  2. Step 2: Convert to fraction form
    2,651.40/3,976.99 = 896.29/x
  3. Step 3: Cross multiply
    2,651.40x = 3,976.99 × 896.29
  4. Step 4: Simplify right side
    2,651.40x = 3,564,524.18
  5. Step 5: Solve for x
    x = 3,564,524.18/2,651.40
  6. Step 6: Final answer
    x = 1,344.39

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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.