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Finding the Fourth Proportional to 2,745, 4,117.50 and 797.22

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Solution

The fourth proportional to 2,745, 4,117.50 and 797.22 is: 1,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745 : 4,117.50 = 797.22 : x
  2. Step 2: Convert to fraction form
    2,745/4,117.50 = 797.22/x
  3. Step 3: Cross multiply
    2,745x = 4,117.50 × 797.22
  4. Step 4: Simplify right side
    2,745x = 3,282,553.35
  5. Step 5: Solve for x
    x = 3,282,553.35/2,745
  6. Step 6: Final answer
    x = 1,195.83

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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.