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Finding the Fourth Proportional to 3,878.82, 5,818.54 and 2,329.38

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Solution

The fourth proportional to 3,878.82, 5,818.54 and 2,329.38 is: 3,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.82 : 5,818.54 = 2,329.38 : x
  2. Step 2: Convert to fraction form
    3,878.82/5,818.54 = 2,329.38/x
  3. Step 3: Cross multiply
    3,878.82x = 5,818.54 × 2,329.38
  4. Step 4: Simplify right side
    3,878.82x = 13,553,590.71
  5. Step 5: Solve for x
    x = 13,553,590.71/3,878.82
  6. Step 6: Final answer
    x = 3,494.26

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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.