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Finding the Fourth Proportional to 2,753.50, 3,799.34 and 1,558.48

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Solution

The fourth proportional to 2,753.50, 3,799.34 and 1,558.48 is: 2,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.50 : 3,799.34 = 1,558.48 : x
  2. Step 2: Convert to fraction form
    2,753.50/3,799.34 = 1,558.48/x
  3. Step 3: Cross multiply
    2,753.50x = 3,799.34 × 1,558.48
  4. Step 4: Simplify right side
    2,753.50x = 5,921,195.40
  5. Step 5: Solve for x
    x = 5,921,195.40/2,753.50
  6. Step 6: Final answer
    x = 2,150.43

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