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Finding the Fourth Proportional to 2,879.82, 4,324.05 and 1,648.62

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Solution

The fourth proportional to 2,879.82, 4,324.05 and 1,648.62 is: 2,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.82 : 4,324.05 = 1,648.62 : x
  2. Step 2: Convert to fraction form
    2,879.82/4,324.05 = 1,648.62/x
  3. Step 3: Cross multiply
    2,879.82x = 4,324.05 × 1,648.62
  4. Step 4: Simplify right side
    2,879.82x = 7,128,715.31
  5. Step 5: Solve for x
    x = 7,128,715.31/2,879.82
  6. Step 6: Final answer
    x = 2,475.40

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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.