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Finding the Fourth Proportional to 2,694, 4,039.14 and 1,913.97

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Solution

The fourth proportional to 2,694, 4,039.14 and 1,913.97 is: 2,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694 : 4,039.14 = 1,913.97 : x
  2. Step 2: Convert to fraction form
    2,694/4,039.14 = 1,913.97/x
  3. Step 3: Cross multiply
    2,694x = 4,039.14 × 1,913.97
  4. Step 4: Simplify right side
    2,694x = 7,730,792.79
  5. Step 5: Solve for x
    x = 7,730,792.79/2,694
  6. Step 6: Final answer
    x = 2,869.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.