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Finding the Fourth Proportional to 2,718.82, 3,752.42 and 1,539.87

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Solution

The fourth proportional to 2,718.82, 3,752.42 and 1,539.87 is: 2,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.82 : 3,752.42 = 1,539.87 : x
  2. Step 2: Convert to fraction form
    2,718.82/3,752.42 = 1,539.87/x
  3. Step 3: Cross multiply
    2,718.82x = 3,752.42 × 1,539.87
  4. Step 4: Simplify right side
    2,718.82x = 5,778,238.99
  5. Step 5: Solve for x
    x = 5,778,238.99/2,718.82
  6. Step 6: Final answer
    x = 2,125.27

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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.