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Finding the Fourth Proportional to 2,718.57, 3,751.73 and 1,539.75

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Solution

The fourth proportional to 2,718.57, 3,751.73 and 1,539.75 is: 2,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.57 : 3,751.73 = 1,539.75 : x
  2. Step 2: Convert to fraction form
    2,718.57/3,751.73 = 1,539.75/x
  3. Step 3: Cross multiply
    2,718.57x = 3,751.73 × 1,539.75
  4. Step 4: Simplify right side
    2,718.57x = 5,776,726.27
  5. Step 5: Solve for x
    x = 5,776,726.27/2,718.57
  6. Step 6: Final answer
    x = 2,124.91

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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.