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Finding the Fourth Proportional to 2,449.86, 3,381.21 and 1,788.90

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Solution

The fourth proportional to 2,449.86, 3,381.21 and 1,788.90 is: 2,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.86 : 3,381.21 = 1,788.90 : x
  2. Step 2: Convert to fraction form
    2,449.86/3,381.21 = 1,788.90/x
  3. Step 3: Cross multiply
    2,449.86x = 3,381.21 × 1,788.90
  4. Step 4: Simplify right side
    2,449.86x = 6,048,646.57
  5. Step 5: Solve for x
    x = 6,048,646.57/2,449.86
  6. Step 6: Final answer
    x = 2,468.98

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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.