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Finding the Fourth Proportional to 1,963.75, 2,707.57 and 1,542.79

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Solution

The fourth proportional to 1,963.75, 2,707.57 and 1,542.79 is: 2,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.75 : 2,707.57 = 1,542.79 : x
  2. Step 2: Convert to fraction form
    1,963.75/2,707.57 = 1,542.79/x
  3. Step 3: Cross multiply
    1,963.75x = 2,707.57 × 1,542.79
  4. Step 4: Simplify right side
    1,963.75x = 4,177,211.92
  5. Step 5: Solve for x
    x = 4,177,211.92/1,963.75
  6. Step 6: Final answer
    x = 2,127.16

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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.