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Finding the Fourth Proportional to 2,750.97, 3,796.38 and 1,572

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Solution

The fourth proportional to 2,750.97, 3,796.38 and 1,572 is: 2,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.97 : 3,796.38 = 1,572 : x
  2. Step 2: Convert to fraction form
    2,750.97/3,796.38 = 1,572/x
  3. Step 3: Cross multiply
    2,750.97x = 3,796.38 × 1,572
  4. Step 4: Simplify right side
    2,750.97x = 5,967,909.36
  5. Step 5: Solve for x
    x = 5,967,909.36/2,750.97
  6. Step 6: Final answer
    x = 2,169.38

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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.