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Finding the Fourth Proportional to 2,718.78, 3,752.08 and 1,539.78

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Solution

The fourth proportional to 2,718.78, 3,752.08 and 1,539.78 is: 2,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.78 : 3,752.08 = 1,539.78 : x
  2. Step 2: Convert to fraction form
    2,718.78/3,752.08 = 1,539.78/x
  3. Step 3: Cross multiply
    2,718.78x = 3,752.08 × 1,539.78
  4. Step 4: Simplify right side
    2,718.78x = 5,777,377.74
  5. Step 5: Solve for x
    x = 5,777,377.74/2,718.78
  6. Step 6: Final answer
    x = 2,124.99

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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.