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Finding the Fourth Proportional to 5,890.78, 8,836.17 and 3,290.68

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Solution

The fourth proportional to 5,890.78, 8,836.17 and 3,290.68 is: 4,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.78 : 8,836.17 = 3,290.68 : x
  2. Step 2: Convert to fraction form
    5,890.78/8,836.17 = 3,290.68/x
  3. Step 3: Cross multiply
    5,890.78x = 8,836.17 × 3,290.68
  4. Step 4: Simplify right side
    5,890.78x = 29,077,007.90
  5. Step 5: Solve for x
    x = 29,077,007.90/5,890.78
  6. Step 6: Final answer
    x = 4,936.02

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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.