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Finding the Fourth Proportional to 3,119.91, 4,678.22 and 2,764.62

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Solution

The fourth proportional to 3,119.91, 4,678.22 and 2,764.62 is: 4,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.91 : 4,678.22 = 2,764.62 : x
  2. Step 2: Convert to fraction form
    3,119.91/4,678.22 = 2,764.62/x
  3. Step 3: Cross multiply
    3,119.91x = 4,678.22 × 2,764.62
  4. Step 4: Simplify right side
    3,119.91x = 12,933,500.58
  5. Step 5: Solve for x
    x = 12,933,500.58/3,119.91
  6. Step 6: Final answer
    x = 4,145.47

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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.