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Finding the Fourth Proportional to 2,694.47, 3,717.78 and 1,515.47

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Solution

The fourth proportional to 2,694.47, 3,717.78 and 1,515.47 is: 2,091.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.47 : 3,717.78 = 1,515.47 : x
  2. Step 2: Convert to fraction form
    2,694.47/3,717.78 = 1,515.47/x
  3. Step 3: Cross multiply
    2,694.47x = 3,717.78 × 1,515.47
  4. Step 4: Simplify right side
    2,694.47x = 5,634,184.06
  5. Step 5: Solve for x
    x = 5,634,184.06/2,694.47
  6. Step 6: Final answer
    x = 2,091.02

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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.