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Finding the Fourth Proportional to 6,520.54, 9,781.74 and 2,138.34

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Solution

The fourth proportional to 6,520.54, 9,781.74 and 2,138.34 is: 3,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.54 : 9,781.74 = 2,138.34 : x
  2. Step 2: Convert to fraction form
    6,520.54/9,781.74 = 2,138.34/x
  3. Step 3: Cross multiply
    6,520.54x = 9,781.74 × 2,138.34
  4. Step 4: Simplify right side
    6,520.54x = 20,916,685.91
  5. Step 5: Solve for x
    x = 20,916,685.91/6,520.54
  6. Step 6: Final answer
    x = 3,207.81

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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.