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Finding the Fourth Proportional to 2,698.84, 3,720.66 and 2,099.47

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Solution

The fourth proportional to 2,698.84, 3,720.66 and 2,099.47 is: 2,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.84 : 3,720.66 = 2,099.47 : x
  2. Step 2: Convert to fraction form
    2,698.84/3,720.66 = 2,099.47/x
  3. Step 3: Cross multiply
    2,698.84x = 3,720.66 × 2,099.47
  4. Step 4: Simplify right side
    2,698.84x = 7,811,414.05
  5. Step 5: Solve for x
    x = 7,811,414.05/2,698.84
  6. Step 6: Final answer
    x = 2,894.36

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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.