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Finding the Fourth Proportional to 4,640.72, 6,961.26 and 1,520.90

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Solution

The fourth proportional to 4,640.72, 6,961.26 and 1,520.90 is: 2,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.72 : 6,961.26 = 1,520.90 : x
  2. Step 2: Convert to fraction form
    4,640.72/6,961.26 = 1,520.90/x
  3. Step 3: Cross multiply
    4,640.72x = 6,961.26 × 1,520.90
  4. Step 4: Simplify right side
    4,640.72x = 10,587,377.34
  5. Step 5: Solve for x
    x = 10,587,377.34/4,640.72
  6. Step 6: Final answer
    x = 2,281.41

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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.