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Finding the Fourth Proportional to 2,744.80, 3,788.24 and 1,750.48

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Solution

The fourth proportional to 2,744.80, 3,788.24 and 1,750.48 is: 2,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.80 : 3,788.24 = 1,750.48 : x
  2. Step 2: Convert to fraction form
    2,744.80/3,788.24 = 1,750.48/x
  3. Step 3: Cross multiply
    2,744.80x = 3,788.24 × 1,750.48
  4. Step 4: Simplify right side
    2,744.80x = 6,631,238.36
  5. Step 5: Solve for x
    x = 6,631,238.36/2,744.80
  6. Step 6: Final answer
    x = 2,415.93

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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.