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Finding the Fourth Proportional to 4,993.69, 6,891.60 and 2,869.90

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Solution

The fourth proportional to 4,993.69, 6,891.60 and 2,869.90 is: 3,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.69 : 6,891.60 = 2,869.90 : x
  2. Step 2: Convert to fraction form
    4,993.69/6,891.60 = 2,869.90/x
  3. Step 3: Cross multiply
    4,993.69x = 6,891.60 × 2,869.90
  4. Step 4: Simplify right side
    4,993.69x = 19,778,202.84
  5. Step 5: Solve for x
    x = 19,778,202.84/4,993.69
  6. Step 6: Final answer
    x = 3,960.64

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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.