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Finding the Fourth Proportional to 3,290.22, 4,929.86 and 2,874.69

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Solution

The fourth proportional to 3,290.22, 4,929.86 and 2,874.69 is: 4,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.22 : 4,929.86 = 2,874.69 : x
  2. Step 2: Convert to fraction form
    3,290.22/4,929.86 = 2,874.69/x
  3. Step 3: Cross multiply
    3,290.22x = 4,929.86 × 2,874.69
  4. Step 4: Simplify right side
    3,290.22x = 14,171,826.43
  5. Step 5: Solve for x
    x = 14,171,826.43/3,290.22
  6. Step 6: Final answer
    x = 4,307.26

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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.