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Finding the Fourth Proportional to 2,694.68, 3,718.70 and 1,515.74

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Solution

The fourth proportional to 2,694.68, 3,718.70 and 1,515.74 is: 2,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.68 : 3,718.70 = 1,515.74 : x
  2. Step 2: Convert to fraction form
    2,694.68/3,718.70 = 1,515.74/x
  3. Step 3: Cross multiply
    2,694.68x = 3,718.70 × 1,515.74
  4. Step 4: Simplify right side
    2,694.68x = 5,636,556.17
  5. Step 5: Solve for x
    x = 5,636,556.17/2,694.68
  6. Step 6: Final answer
    x = 2,091.74

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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.