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Finding the Fourth Proportional to 6,655.17, 9,982.80 and 3,181.89

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Solution

The fourth proportional to 6,655.17, 9,982.80 and 3,181.89 is: 4,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.17 : 9,982.80 = 3,181.89 : x
  2. Step 2: Convert to fraction form
    6,655.17/9,982.80 = 3,181.89/x
  3. Step 3: Cross multiply
    6,655.17x = 9,982.80 × 3,181.89
  4. Step 4: Simplify right side
    6,655.17x = 31,764,171.49
  5. Step 5: Solve for x
    x = 31,764,171.49/6,655.17
  6. Step 6: Final answer
    x = 4,772.86

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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.