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Finding the Fourth Proportional to 2,879.24, 4,308.78 and 2,147

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Solution

The fourth proportional to 2,879.24, 4,308.78 and 2,147 is: 3,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.24 : 4,308.78 = 2,147 : x
  2. Step 2: Convert to fraction form
    2,879.24/4,308.78 = 2,147/x
  3. Step 3: Cross multiply
    2,879.24x = 4,308.78 × 2,147
  4. Step 4: Simplify right side
    2,879.24x = 9,250,950.66
  5. Step 5: Solve for x
    x = 9,250,950.66/2,879.24
  6. Step 6: Final answer
    x = 3,212.98

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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.