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Finding the Fourth Proportional to 6,861.76, 9,469.20 and 3,717.96

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Solution

The fourth proportional to 6,861.76, 9,469.20 and 3,717.96 is: 5,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.76 : 9,469.20 = 3,717.96 : x
  2. Step 2: Convert to fraction form
    6,861.76/9,469.20 = 3,717.96/x
  3. Step 3: Cross multiply
    6,861.76x = 9,469.20 × 3,717.96
  4. Step 4: Simplify right side
    6,861.76x = 35,206,106.83
  5. Step 5: Solve for x
    x = 35,206,106.83/6,861.76
  6. Step 6: Final answer
    x = 5,130.77

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1.5x scale

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.