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Finding the Fourth Proportional to 8,947.31, 13,420.97 and 2,791.31

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Solution

The fourth proportional to 8,947.31, 13,420.97 and 2,791.31 is: 4,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.31 : 13,420.97 = 2,791.31 : x
  2. Step 2: Convert to fraction form
    8,947.31/13,420.97 = 2,791.31/x
  3. Step 3: Cross multiply
    8,947.31x = 13,420.97 × 2,791.31
  4. Step 4: Simplify right side
    8,947.31x = 37,462,073.81
  5. Step 5: Solve for x
    x = 37,462,073.81/8,947.31
  6. Step 6: Final answer
    x = 4,186.97

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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.