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Finding the Fourth Proportional to 8,249.66, 11,386 and 6,256.86

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Solution

The fourth proportional to 8,249.66, 11,386 and 6,256.86 is: 8,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.66 : 11,386 = 6,256.86 : x
  2. Step 2: Convert to fraction form
    8,249.66/11,386 = 6,256.86/x
  3. Step 3: Cross multiply
    8,249.66x = 11,386 × 6,256.86
  4. Step 4: Simplify right side
    8,249.66x = 71,240,607.96
  5. Step 5: Solve for x
    x = 71,240,607.96/8,249.66
  6. Step 6: Final answer
    x = 8,635.58

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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.