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Finding the Fourth Proportional to 1,805.32, 2,709.90 and 881.56

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Solution

The fourth proportional to 1,805.32, 2,709.90 and 881.56 is: 1,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.32 : 2,709.90 = 881.56 : x
  2. Step 2: Convert to fraction form
    1,805.32/2,709.90 = 881.56/x
  3. Step 3: Cross multiply
    1,805.32x = 2,709.90 × 881.56
  4. Step 4: Simplify right side
    1,805.32x = 2,388,939.44
  5. Step 5: Solve for x
    x = 2,388,939.44/1,805.32
  6. Step 6: Final answer
    x = 1,323.28

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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.