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Finding the Fourth Proportional to 2,749.68, 3,793.03 and 1,805.63

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Solution

The fourth proportional to 2,749.68, 3,793.03 and 1,805.63 is: 2,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.68 : 3,793.03 = 1,805.63 : x
  2. Step 2: Convert to fraction form
    2,749.68/3,793.03 = 1,805.63/x
  3. Step 3: Cross multiply
    2,749.68x = 3,793.03 × 1,805.63
  4. Step 4: Simplify right side
    2,749.68x = 6,848,785.28
  5. Step 5: Solve for x
    x = 6,848,785.28/2,749.68
  6. Step 6: Final answer
    x = 2,490.76

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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.