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Finding the Fourth Proportional to 5,036, 6,949.68 and 2,828

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Solution

The fourth proportional to 5,036, 6,949.68 and 2,828 is: 3,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036 : 6,949.68 = 2,828 : x
  2. Step 2: Convert to fraction form
    5,036/6,949.68 = 2,828/x
  3. Step 3: Cross multiply
    5,036x = 6,949.68 × 2,828
  4. Step 4: Simplify right side
    5,036x = 19,653,695.04
  5. Step 5: Solve for x
    x = 19,653,695.04/5,036
  6. Step 6: Final answer
    x = 3,902.64

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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.