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Finding the Fourth Proportional to 2,752.11, 3,798.69 and 2,255.93

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Solution

The fourth proportional to 2,752.11, 3,798.69 and 2,255.93 is: 3,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.11 : 3,798.69 = 2,255.93 : x
  2. Step 2: Convert to fraction form
    2,752.11/3,798.69 = 2,255.93/x
  3. Step 3: Cross multiply
    2,752.11x = 3,798.69 × 2,255.93
  4. Step 4: Simplify right side
    2,752.11x = 8,569,578.73
  5. Step 5: Solve for x
    x = 8,569,578.73/2,752.11
  6. Step 6: Final answer
    x = 3,113.82

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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.