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Finding the Fourth Proportional to 3,786.52, 5,679.06 and 1,013.32

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Solution

The fourth proportional to 3,786.52, 5,679.06 and 1,013.32 is: 1,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.52 : 5,679.06 = 1,013.32 : x
  2. Step 2: Convert to fraction form
    3,786.52/5,679.06 = 1,013.32/x
  3. Step 3: Cross multiply
    3,786.52x = 5,679.06 × 1,013.32
  4. Step 4: Simplify right side
    3,786.52x = 5,754,705.08
  5. Step 5: Solve for x
    x = 5,754,705.08/3,786.52
  6. Step 6: Final answer
    x = 1,519.79

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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.