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Finding the Fourth Proportional to 2,788.48, 3,847.95 and 1,593.42

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Solution

The fourth proportional to 2,788.48, 3,847.95 and 1,593.42 is: 2,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.48 : 3,847.95 = 1,593.42 : x
  2. Step 2: Convert to fraction form
    2,788.48/3,847.95 = 1,593.42/x
  3. Step 3: Cross multiply
    2,788.48x = 3,847.95 × 1,593.42
  4. Step 4: Simplify right side
    2,788.48x = 6,131,400.49
  5. Step 5: Solve for x
    x = 6,131,400.49/2,788.48
  6. Step 6: Final answer
    x = 2,198.83

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1.5x scale

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.