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Finding the Fourth Proportional to 2,801.54, 3,865.97 and 1,542.54

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Solution

The fourth proportional to 2,801.54, 3,865.97 and 1,542.54 is: 2,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.54 : 3,865.97 = 1,542.54 : x
  2. Step 2: Convert to fraction form
    2,801.54/3,865.97 = 1,542.54/x
  3. Step 3: Cross multiply
    2,801.54x = 3,865.97 × 1,542.54
  4. Step 4: Simplify right side
    2,801.54x = 5,963,425.93
  5. Step 5: Solve for x
    x = 5,963,425.93/2,801.54
  6. Step 6: Final answer
    x = 2,128.63

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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.