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Finding the Fourth Proportional to 6,656.58, 9,185.78 and 3,821.96

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Solution

The fourth proportional to 6,656.58, 9,185.78 and 3,821.96 is: 5,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.58 : 9,185.78 = 3,821.96 : x
  2. Step 2: Convert to fraction form
    6,656.58/9,185.78 = 3,821.96/x
  3. Step 3: Cross multiply
    6,656.58x = 9,185.78 × 3,821.96
  4. Step 4: Simplify right side
    6,656.58x = 35,107,687.58
  5. Step 5: Solve for x
    x = 35,107,687.58/6,656.58
  6. Step 6: Final answer
    x = 5,274.13

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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.