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Finding the Fourth Proportional to 5,205.91, 7,805.39 and 2,867.02

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Solution

The fourth proportional to 5,205.91, 7,805.39 and 2,867.02 is: 4,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.91 : 7,805.39 = 2,867.02 : x
  2. Step 2: Convert to fraction form
    5,205.91/7,805.39 = 2,867.02/x
  3. Step 3: Cross multiply
    5,205.91x = 7,805.39 × 2,867.02
  4. Step 4: Simplify right side
    5,205.91x = 22,378,205.41
  5. Step 5: Solve for x
    x = 22,378,205.41/5,205.91
  6. Step 6: Final answer
    x = 4,298.62

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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.