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Finding the Fourth Proportional to 8,471.46, 12,709.80 and 3,795.42

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Solution

The fourth proportional to 8,471.46, 12,709.80 and 3,795.42 is: 5,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.46 : 12,709.80 = 3,795.42 : x
  2. Step 2: Convert to fraction form
    8,471.46/12,709.80 = 3,795.42/x
  3. Step 3: Cross multiply
    8,471.46x = 12,709.80 × 3,795.42
  4. Step 4: Simplify right side
    8,471.46x = 48,239,029.12
  5. Step 5: Solve for x
    x = 48,239,029.12/8,471.46
  6. Step 6: Final answer
    x = 5,694.30

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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.