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Finding the Fourth Proportional to 2,709.86, 4,066.20 and 1,149.39

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Solution

The fourth proportional to 2,709.86, 4,066.20 and 1,149.39 is: 1,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.86 : 4,066.20 = 1,149.39 : x
  2. Step 2: Convert to fraction form
    2,709.86/4,066.20 = 1,149.39/x
  3. Step 3: Cross multiply
    2,709.86x = 4,066.20 × 1,149.39
  4. Step 4: Simplify right side
    2,709.86x = 4,673,649.62
  5. Step 5: Solve for x
    x = 4,673,649.62/2,709.86
  6. Step 6: Final answer
    x = 1,724.69

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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.