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Finding the Fourth Proportional to 5,047, 6,964.86 and 2,839

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Solution

The fourth proportional to 5,047, 6,964.86 and 2,839 is: 3,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047 : 6,964.86 = 2,839 : x
  2. Step 2: Convert to fraction form
    5,047/6,964.86 = 2,839/x
  3. Step 3: Cross multiply
    5,047x = 6,964.86 × 2,839
  4. Step 4: Simplify right side
    5,047x = 19,773,237.54
  5. Step 5: Solve for x
    x = 19,773,237.54/5,047
  6. Step 6: Final answer
    x = 3,917.82

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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.