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Finding the Fourth Proportional to 8,448, 11,658.24 and 4,722

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Solution

The fourth proportional to 8,448, 11,658.24 and 4,722 is: 6,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,448 : 11,658.24 = 4,722 : x
  2. Step 2: Convert to fraction form
    8,448/11,658.24 = 4,722/x
  3. Step 3: Cross multiply
    8,448x = 11,658.24 × 4,722
  4. Step 4: Simplify right side
    8,448x = 55,050,209.28
  5. Step 5: Solve for x
    x = 55,050,209.28/8,448
  6. Step 6: Final answer
    x = 6,516.36

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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.