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Finding the Fourth Proportional to 1,805.76, 2,709.72 and 1,191.24

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Solution

The fourth proportional to 1,805.76, 2,709.72 and 1,191.24 is: 1,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.76 : 2,709.72 = 1,191.24 : x
  2. Step 2: Convert to fraction form
    1,805.76/2,709.72 = 1,191.24/x
  3. Step 3: Cross multiply
    1,805.76x = 2,709.72 × 1,191.24
  4. Step 4: Simplify right side
    1,805.76x = 3,227,926.85
  5. Step 5: Solve for x
    x = 3,227,926.85/1,805.76
  6. Step 6: Final answer
    x = 1,787.57

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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.