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Finding the Fourth Proportional to 8,322.52, 11,486.19 and 8,049.01

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Solution

The fourth proportional to 8,322.52, 11,486.19 and 8,049.01 is: 11,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.52 : 11,486.19 = 8,049.01 : x
  2. Step 2: Convert to fraction form
    8,322.52/11,486.19 = 8,049.01/x
  3. Step 3: Cross multiply
    8,322.52x = 11,486.19 × 8,049.01
  4. Step 4: Simplify right side
    8,322.52x = 92,452,458.17
  5. Step 5: Solve for x
    x = 92,452,458.17/8,322.52
  6. Step 6: Final answer
    x = 11,108.71

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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.