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Finding the Fourth Proportional to 2,006.02, 2,768.34 and 1,143.71

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Solution

The fourth proportional to 2,006.02, 2,768.34 and 1,143.71 is: 1,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.02 : 2,768.34 = 1,143.71 : x
  2. Step 2: Convert to fraction form
    2,006.02/2,768.34 = 1,143.71/x
  3. Step 3: Cross multiply
    2,006.02x = 2,768.34 × 1,143.71
  4. Step 4: Simplify right side
    2,006.02x = 3,166,178.14
  5. Step 5: Solve for x
    x = 3,166,178.14/2,006.02
  6. Step 6: Final answer
    x = 1,578.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.