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Finding the Fourth Proportional to 8,530.91, 11,687.41 and 8,211.32

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Solution

The fourth proportional to 8,530.91, 11,687.41 and 8,211.32 is: 11,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.91 : 11,687.41 = 8,211.32 : x
  2. Step 2: Convert to fraction form
    8,530.91/11,687.41 = 8,211.32/x
  3. Step 3: Cross multiply
    8,530.91x = 11,687.41 × 8,211.32
  4. Step 4: Simplify right side
    8,530.91x = 95,968,984.52
  5. Step 5: Solve for x
    x = 95,968,984.52/8,530.91
  6. Step 6: Final answer
    x = 11,249.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.