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Finding the Fourth Proportional to 8,646.24, 11,896.56 and 8,449.68

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Solution

The fourth proportional to 8,646.24, 11,896.56 and 8,449.68 is: 11,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.24 : 11,896.56 = 8,449.68 : x
  2. Step 2: Convert to fraction form
    8,646.24/11,896.56 = 8,449.68/x
  3. Step 3: Cross multiply
    8,646.24x = 11,896.56 × 8,449.68
  4. Step 4: Simplify right side
    8,646.24x = 100,522,125.10
  5. Step 5: Solve for x
    x = 100,522,125.10/8,646.24
  6. Step 6: Final answer
    x = 11,626.11

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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.