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Finding the Fourth Proportional to 2,590.34, 3,876.16 and 2,229.48

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Solution

The fourth proportional to 2,590.34, 3,876.16 and 2,229.48 is: 3,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.34 : 3,876.16 = 2,229.48 : x
  2. Step 2: Convert to fraction form
    2,590.34/3,876.16 = 2,229.48/x
  3. Step 3: Cross multiply
    2,590.34x = 3,876.16 × 2,229.48
  4. Step 4: Simplify right side
    2,590.34x = 8,641,821.20
  5. Step 5: Solve for x
    x = 8,641,821.20/2,590.34
  6. Step 6: Final answer
    x = 3,336.17

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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.