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Finding the Fourth Proportional to 2,753.52, 3,798 and 1,914.36

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Solution

The fourth proportional to 2,753.52, 3,798 and 1,914.36 is: 2,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.52 : 3,798 = 1,914.36 : x
  2. Step 2: Convert to fraction form
    2,753.52/3,798 = 1,914.36/x
  3. Step 3: Cross multiply
    2,753.52x = 3,798 × 1,914.36
  4. Step 4: Simplify right side
    2,753.52x = 7,270,739.28
  5. Step 5: Solve for x
    x = 7,270,739.28/2,753.52
  6. Step 6: Final answer
    x = 2,640.53

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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.