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Finding the Fourth Proportional to 8,648.31, 12,972.39 and 3,383.82

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Solution

The fourth proportional to 8,648.31, 12,972.39 and 3,383.82 is: 5,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.31 : 12,972.39 = 3,383.82 : x
  2. Step 2: Convert to fraction form
    8,648.31/12,972.39 = 3,383.82/x
  3. Step 3: Cross multiply
    8,648.31x = 12,972.39 × 3,383.82
  4. Step 4: Simplify right side
    8,648.31x = 43,896,232.73
  5. Step 5: Solve for x
    x = 43,896,232.73/8,648.31
  6. Step 6: Final answer
    x = 5,075.70

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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.