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Finding the Fourth Proportional to 3,858.78, 5,788.10 and 2,138.34

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Solution

The fourth proportional to 3,858.78, 5,788.10 and 2,138.34 is: 3,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.78 : 5,788.10 = 2,138.34 : x
  2. Step 2: Convert to fraction form
    3,858.78/5,788.10 = 2,138.34/x
  3. Step 3: Cross multiply
    3,858.78x = 5,788.10 × 2,138.34
  4. Step 4: Simplify right side
    3,858.78x = 12,376,925.75
  5. Step 5: Solve for x
    x = 12,376,925.75/3,858.78
  6. Step 6: Final answer
    x = 3,207.47

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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.