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Finding the Fourth Proportional to 19,195.01, 28,770.66 and 11,682

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Solution

The fourth proportional to 19,195.01, 28,770.66 and 11,682 is: 17,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,195.01 : 28,770.66 = 11,682 : x
  2. Step 2: Convert to fraction form
    19,195.01/28,770.66 = 11,682/x
  3. Step 3: Cross multiply
    19,195.01x = 28,770.66 × 11,682
  4. Step 4: Simplify right side
    19,195.01x = 336,098,850.12
  5. Step 5: Solve for x
    x = 336,098,850.12/19,195.01
  6. Step 6: Final answer
    x = 17,509.70

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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.