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Finding the Fourth Proportional to 6,261.82, 8,643 and 3,902.56

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Solution

The fourth proportional to 6,261.82, 8,643 and 3,902.56 is: 5,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.82 : 8,643 = 3,902.56 : x
  2. Step 2: Convert to fraction form
    6,261.82/8,643 = 3,902.56/x
  3. Step 3: Cross multiply
    6,261.82x = 8,643 × 3,902.56
  4. Step 4: Simplify right side
    6,261.82x = 33,729,826.08
  5. Step 5: Solve for x
    x = 33,729,826.08/6,261.82
  6. Step 6: Final answer
    x = 5,386.59

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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.