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Finding the Fourth Proportional to 2,203.50, 3,040.92 and 1,272

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Solution

The fourth proportional to 2,203.50, 3,040.92 and 1,272 is: 1,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.50 : 3,040.92 = 1,272 : x
  2. Step 2: Convert to fraction form
    2,203.50/3,040.92 = 1,272/x
  3. Step 3: Cross multiply
    2,203.50x = 3,040.92 × 1,272
  4. Step 4: Simplify right side
    2,203.50x = 3,868,050.24
  5. Step 5: Solve for x
    x = 3,868,050.24/2,203.50
  6. Step 6: Final answer
    x = 1,755.41

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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.