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Finding the Fourth Proportional to 2,754.61, 3,801 and 1,575.75

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Solution

The fourth proportional to 2,754.61, 3,801 and 1,575.75 is: 2,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.61 : 3,801 = 1,575.75 : x
  2. Step 2: Convert to fraction form
    2,754.61/3,801 = 1,575.75/x
  3. Step 3: Cross multiply
    2,754.61x = 3,801 × 1,575.75
  4. Step 4: Simplify right side
    2,754.61x = 5,989,425.75
  5. Step 5: Solve for x
    x = 5,989,425.75/2,754.61
  6. Step 6: Final answer
    x = 2,174.33

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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.