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Finding the Fourth Proportional to 2,737.63, 3,777 and 1,542.43

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Solution

The fourth proportional to 2,737.63, 3,777 and 1,542.43 is: 2,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.63 : 3,777 = 1,542.43 : x
  2. Step 2: Convert to fraction form
    2,737.63/3,777 = 1,542.43/x
  3. Step 3: Cross multiply
    2,737.63x = 3,777 × 1,542.43
  4. Step 4: Simplify right side
    2,737.63x = 5,825,758.11
  5. Step 5: Solve for x
    x = 5,825,758.11/2,737.63
  6. Step 6: Final answer
    x = 2,128.03

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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.