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Finding the Fourth Proportional to 9,101.80, 13,655.99 and 3,179.56

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Solution

The fourth proportional to 9,101.80, 13,655.99 and 3,179.56 is: 4,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.80 : 13,655.99 = 3,179.56 : x
  2. Step 2: Convert to fraction form
    9,101.80/13,655.99 = 3,179.56/x
  3. Step 3: Cross multiply
    9,101.80x = 13,655.99 × 3,179.56
  4. Step 4: Simplify right side
    9,101.80x = 43,420,039.56
  5. Step 5: Solve for x
    x = 43,420,039.56/9,101.80
  6. Step 6: Final answer
    x = 4,770.49

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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.