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Finding the Fourth Proportional to 2,718.28, 3,751 and 1,539.33

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Solution

The fourth proportional to 2,718.28, 3,751 and 1,539.33 is: 2,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.28 : 3,751 = 1,539.33 : x
  2. Step 2: Convert to fraction form
    2,718.28/3,751 = 1,539.33/x
  3. Step 3: Cross multiply
    2,718.28x = 3,751 × 1,539.33
  4. Step 4: Simplify right side
    2,718.28x = 5,774,026.83
  5. Step 5: Solve for x
    x = 5,774,026.83/2,718.28
  6. Step 6: Final answer
    x = 2,124.15

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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.