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Finding the Fourth Proportional to 6,861.72, 9,469.14 and 3,717.90

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Solution

The fourth proportional to 6,861.72, 9,469.14 and 3,717.90 is: 5,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.72 : 9,469.14 = 3,717.90 : x
  2. Step 2: Convert to fraction form
    6,861.72/9,469.14 = 3,717.90/x
  3. Step 3: Cross multiply
    6,861.72x = 9,469.14 × 3,717.90
  4. Step 4: Simplify right side
    6,861.72x = 35,205,315.61
  5. Step 5: Solve for x
    x = 35,205,315.61/6,861.72
  6. Step 6: Final answer
    x = 5,130.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.