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Finding the Fourth Proportional to 4,993.50, 6,891.03 and 2,785.50

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Solution

The fourth proportional to 4,993.50, 6,891.03 and 2,785.50 is: 3,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.50 : 6,891.03 = 2,785.50 : x
  2. Step 2: Convert to fraction form
    4,993.50/6,891.03 = 2,785.50/x
  3. Step 3: Cross multiply
    4,993.50x = 6,891.03 × 2,785.50
  4. Step 4: Simplify right side
    4,993.50x = 19,194,964.07
  5. Step 5: Solve for x
    x = 19,194,964.07/4,993.50
  6. Step 6: Final answer
    x = 3,843.99

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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.