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Finding the Fourth Proportional to 2,191.23, 3,287.43 and 891.99

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Solution

The fourth proportional to 2,191.23, 3,287.43 and 891.99 is: 1,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.23 : 3,287.43 = 891.99 : x
  2. Step 2: Convert to fraction form
    2,191.23/3,287.43 = 891.99/x
  3. Step 3: Cross multiply
    2,191.23x = 3,287.43 × 891.99
  4. Step 4: Simplify right side
    2,191.23x = 2,932,354.69
  5. Step 5: Solve for x
    x = 2,932,354.69/2,191.23
  6. Step 6: Final answer
    x = 1,338.22

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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.