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Finding the Fourth Proportional to 8,489.86, 11,727.82 and 8,074.68

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Solution

The fourth proportional to 8,489.86, 11,727.82 and 8,074.68 is: 11,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.86 : 11,727.82 = 8,074.68 : x
  2. Step 2: Convert to fraction form
    8,489.86/11,727.82 = 8,074.68/x
  3. Step 3: Cross multiply
    8,489.86x = 11,727.82 × 8,074.68
  4. Step 4: Simplify right side
    8,489.86x = 94,698,393.60
  5. Step 5: Solve for x
    x = 94,698,393.60/8,489.86
  6. Step 6: Final answer
    x = 11,154.29

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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.