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Finding the Fourth Proportional to 2,920.85, 4,375.05 and 2,363.16

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Solution

The fourth proportional to 2,920.85, 4,375.05 and 2,363.16 is: 3,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.85 : 4,375.05 = 2,363.16 : x
  2. Step 2: Convert to fraction form
    2,920.85/4,375.05 = 2,363.16/x
  3. Step 3: Cross multiply
    2,920.85x = 4,375.05 × 2,363.16
  4. Step 4: Simplify right side
    2,920.85x = 10,338,942.28
  5. Step 5: Solve for x
    x = 10,338,942.28/2,920.85
  6. Step 6: Final answer
    x = 3,539.71

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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.