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Finding the Fourth Proportional to 9,101.70, 13,655.84 and 3,179.46

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Solution

The fourth proportional to 9,101.70, 13,655.84 and 3,179.46 is: 4,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.70 : 13,655.84 = 3,179.46 : x
  2. Step 2: Convert to fraction form
    9,101.70/13,655.84 = 3,179.46/x
  3. Step 3: Cross multiply
    9,101.70x = 13,655.84 × 3,179.46
  4. Step 4: Simplify right side
    9,101.70x = 43,418,226.57
  5. Step 5: Solve for x
    x = 43,418,226.57/9,101.70
  6. Step 6: Final answer
    x = 4,770.34

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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.