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Finding the Fourth Proportional to 3,764, 5,187.84 and 3,538.28

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Solution

The fourth proportional to 3,764, 5,187.84 and 3,538.28 is: 4,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764 : 5,187.84 = 3,538.28 : x
  2. Step 2: Convert to fraction form
    3,764/5,187.84 = 3,538.28/x
  3. Step 3: Cross multiply
    3,764x = 5,187.84 × 3,538.28
  4. Step 4: Simplify right side
    3,764x = 18,356,030.52
  5. Step 5: Solve for x
    x = 18,356,030.52/3,764
  6. Step 6: Final answer
    x = 4,876.73

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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.