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Finding the Fourth Proportional to 1,723.78, 2,581.56 and 991.82

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Solution

The fourth proportional to 1,723.78, 2,581.56 and 991.82 is: 1,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.78 : 2,581.56 = 991.82 : x
  2. Step 2: Convert to fraction form
    1,723.78/2,581.56 = 991.82/x
  3. Step 3: Cross multiply
    1,723.78x = 2,581.56 × 991.82
  4. Step 4: Simplify right side
    1,723.78x = 2,560,440.64
  5. Step 5: Solve for x
    x = 2,560,440.64/1,723.78
  6. Step 6: Final answer
    x = 1,485.36

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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.