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Finding the Fourth Proportional to 2,746.72, 3,791.76 and 1,862.56

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Solution

The fourth proportional to 2,746.72, 3,791.76 and 1,862.56 is: 2,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.72 : 3,791.76 = 1,862.56 : x
  2. Step 2: Convert to fraction form
    2,746.72/3,791.76 = 1,862.56/x
  3. Step 3: Cross multiply
    2,746.72x = 3,791.76 × 1,862.56
  4. Step 4: Simplify right side
    2,746.72x = 7,062,380.51
  5. Step 5: Solve for x
    x = 7,062,380.51/2,746.72
  6. Step 6: Final answer
    x = 2,571.21

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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.