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Finding the Fourth Proportional to 1,991.57, 2,748.96 and 1,245.09

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Solution

The fourth proportional to 1,991.57, 2,748.96 and 1,245.09 is: 1,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.57 : 2,748.96 = 1,245.09 : x
  2. Step 2: Convert to fraction form
    1,991.57/2,748.96 = 1,245.09/x
  3. Step 3: Cross multiply
    1,991.57x = 2,748.96 × 1,245.09
  4. Step 4: Simplify right side
    1,991.57x = 3,422,702.61
  5. Step 5: Solve for x
    x = 3,422,702.61/1,991.57
  6. Step 6: Final answer
    x = 1,718.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.