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Finding the Fourth Proportional to 2,754, 3,800.72 and 1,575.25

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Solution

The fourth proportional to 2,754, 3,800.72 and 1,575.25 is: 2,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 3,800.72 = 1,575.25 : x
  2. Step 2: Convert to fraction form
    2,754/3,800.72 = 1,575.25/x
  3. Step 3: Cross multiply
    2,754x = 3,800.72 × 1,575.25
  4. Step 4: Simplify right side
    2,754x = 5,987,078.62
  5. Step 5: Solve for x
    x = 5,987,078.62/2,754
  6. Step 6: Final answer
    x = 2,173.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.