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Finding the Fourth Proportional to 2,757.50, 3,805.30 and 1,562.48

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Solution

The fourth proportional to 2,757.50, 3,805.30 and 1,562.48 is: 2,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.50 : 3,805.30 = 1,562.48 : x
  2. Step 2: Convert to fraction form
    2,757.50/3,805.30 = 1,562.48/x
  3. Step 3: Cross multiply
    2,757.50x = 3,805.30 × 1,562.48
  4. Step 4: Simplify right side
    2,757.50x = 5,945,705.14
  5. Step 5: Solve for x
    x = 5,945,705.14/2,757.50
  6. Step 6: Final answer
    x = 2,156.19

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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.