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Finding the Fourth Proportional to 6,476.12, 8,936.82 and 3,643.55

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Solution

The fourth proportional to 6,476.12, 8,936.82 and 3,643.55 is: 5,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.12 : 8,936.82 = 3,643.55 : x
  2. Step 2: Convert to fraction form
    6,476.12/8,936.82 = 3,643.55/x
  3. Step 3: Cross multiply
    6,476.12x = 8,936.82 × 3,643.55
  4. Step 4: Simplify right side
    6,476.12x = 32,561,705.83
  5. Step 5: Solve for x
    x = 32,561,705.83/6,476.12
  6. Step 6: Final answer
    x = 5,027.97

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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.