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Finding the Fourth Proportional to 6,471.24, 8,929.09 and 3,953.96

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Solution

The fourth proportional to 6,471.24, 8,929.09 and 3,953.96 is: 5,455.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.24 : 8,929.09 = 3,953.96 : x
  2. Step 2: Convert to fraction form
    6,471.24/8,929.09 = 3,953.96/x
  3. Step 3: Cross multiply
    6,471.24x = 8,929.09 × 3,953.96
  4. Step 4: Simplify right side
    6,471.24x = 35,305,286.46
  5. Step 5: Solve for x
    x = 35,305,286.46/6,471.24
  6. Step 6: Final answer
    x = 5,455.72

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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.