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Finding the Fourth Proportional to 2,720.94, 3,754.74 and 1,542

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Solution

The fourth proportional to 2,720.94, 3,754.74 and 1,542 is: 2,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.94 : 3,754.74 = 1,542 : x
  2. Step 2: Convert to fraction form
    2,720.94/3,754.74 = 1,542/x
  3. Step 3: Cross multiply
    2,720.94x = 3,754.74 × 1,542
  4. Step 4: Simplify right side
    2,720.94x = 5,789,809.08
  5. Step 5: Solve for x
    x = 5,789,809.08/2,720.94
  6. Step 6: Final answer
    x = 2,127.87

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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.