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Finding the Fourth Proportional to 3,658.43, 5,048.63 and 1,979.83

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Solution

The fourth proportional to 3,658.43, 5,048.63 and 1,979.83 is: 2,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.43 : 5,048.63 = 1,979.83 : x
  2. Step 2: Convert to fraction form
    3,658.43/5,048.63 = 1,979.83/x
  3. Step 3: Cross multiply
    3,658.43x = 5,048.63 × 1,979.83
  4. Step 4: Simplify right side
    3,658.43x = 9,995,429.13
  5. Step 5: Solve for x
    x = 9,995,429.13/3,658.43
  6. Step 6: Final answer
    x = 2,732.17

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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.