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Finding the Fourth Proportional to 3,754, 5,180.52 and 2,261.94

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Solution

The fourth proportional to 3,754, 5,180.52 and 2,261.94 is: 3,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754 : 5,180.52 = 2,261.94 : x
  2. Step 2: Convert to fraction form
    3,754/5,180.52 = 2,261.94/x
  3. Step 3: Cross multiply
    3,754x = 5,180.52 × 2,261.94
  4. Step 4: Simplify right side
    3,754x = 11,718,025.41
  5. Step 5: Solve for x
    x = 11,718,025.41/3,754
  6. Step 6: Final answer
    x = 3,121.48

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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.