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Finding the Fourth Proportional to 2,789, 3,849.22 and 1,593.98

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Solution

The fourth proportional to 2,789, 3,849.22 and 1,593.98 is: 2,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789 : 3,849.22 = 1,593.98 : x
  2. Step 2: Convert to fraction form
    2,789/3,849.22 = 1,593.98/x
  3. Step 3: Cross multiply
    2,789x = 3,849.22 × 1,593.98
  4. Step 4: Simplify right side
    2,789x = 6,135,579.70
  5. Step 5: Solve for x
    x = 6,135,579.70/2,789
  6. Step 6: Final answer
    x = 2,199.92

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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.