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Finding the Fourth Proportional to 2,006.72, 2,768.80 and 1,178.56

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Solution

The fourth proportional to 2,006.72, 2,768.80 and 1,178.56 is: 1,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.72 : 2,768.80 = 1,178.56 : x
  2. Step 2: Convert to fraction form
    2,006.72/2,768.80 = 1,178.56/x
  3. Step 3: Cross multiply
    2,006.72x = 2,768.80 × 1,178.56
  4. Step 4: Simplify right side
    2,006.72x = 3,263,196.93
  5. Step 5: Solve for x
    x = 3,263,196.93/2,006.72
  6. Step 6: Final answer
    x = 1,626.13

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