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Finding the Fourth Proportional to 8,709.92, 12,022.96 and 5,174.88

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Solution

The fourth proportional to 8,709.92, 12,022.96 and 5,174.88 is: 7,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.92 : 12,022.96 = 5,174.88 : x
  2. Step 2: Convert to fraction form
    8,709.92/12,022.96 = 5,174.88/x
  3. Step 3: Cross multiply
    8,709.92x = 12,022.96 × 5,174.88
  4. Step 4: Simplify right side
    8,709.92x = 62,217,375.24
  5. Step 5: Solve for x
    x = 62,217,375.24/8,709.92
  6. Step 6: Final answer
    x = 7,143.28

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1.5x scale

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.