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Finding the Fourth Proportional to 3,722.52, 5,583.77 and 1,768.80

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Solution

The fourth proportional to 3,722.52, 5,583.77 and 1,768.80 is: 2,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.52 : 5,583.77 = 1,768.80 : x
  2. Step 2: Convert to fraction form
    3,722.52/5,583.77 = 1,768.80/x
  3. Step 3: Cross multiply
    3,722.52x = 5,583.77 × 1,768.80
  4. Step 4: Simplify right side
    3,722.52x = 9,876,572.38
  5. Step 5: Solve for x
    x = 9,876,572.38/3,722.52
  6. Step 6: Final answer
    x = 2,653.20

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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.