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Finding the Fourth Proportional to 7,803.10, 11,704.65 and 3,906.10

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Solution

The fourth proportional to 7,803.10, 11,704.65 and 3,906.10 is: 5,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.10 : 11,704.65 = 3,906.10 : x
  2. Step 2: Convert to fraction form
    7,803.10/11,704.65 = 3,906.10/x
  3. Step 3: Cross multiply
    7,803.10x = 11,704.65 × 3,906.10
  4. Step 4: Simplify right side
    7,803.10x = 45,719,533.37
  5. Step 5: Solve for x
    x = 45,719,533.37/7,803.10
  6. Step 6: Final answer
    x = 5,859.15

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Similar ratio
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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.