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Finding the Fourth Proportional to 7,803.28, 11,707.64 and 3,906.80

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Solution

The fourth proportional to 7,803.28, 11,707.64 and 3,906.80 is: 5,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.28 : 11,707.64 = 3,906.80 : x
  2. Step 2: Convert to fraction form
    7,803.28/11,707.64 = 3,906.80/x
  3. Step 3: Cross multiply
    7,803.28x = 11,707.64 × 3,906.80
  4. Step 4: Simplify right side
    7,803.28x = 45,739,407.95
  5. Step 5: Solve for x
    x = 45,739,407.95/7,803.28
  6. Step 6: Final answer
    x = 5,861.56

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1.5x scale

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.