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Finding the Fourth Proportional to 7,191, 10,787.11 and 1,996.88

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Solution

The fourth proportional to 7,191, 10,787.11 and 1,996.88 is: 2,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191 : 10,787.11 = 1,996.88 : x
  2. Step 2: Convert to fraction form
    7,191/10,787.11 = 1,996.88/x
  3. Step 3: Cross multiply
    7,191x = 10,787.11 × 1,996.88
  4. Step 4: Simplify right side
    7,191x = 21,540,505.29
  5. Step 5: Solve for x
    x = 21,540,505.29/7,191
  6. Step 6: Final answer
    x = 2,995.48

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1.5x scale

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.