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Finding the Fourth Proportional to 8,489.61, 11,727.48 and 8,074.43

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Solution

The fourth proportional to 8,489.61, 11,727.48 and 8,074.43 is: 11,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.61 : 11,727.48 = 8,074.43 : x
  2. Step 2: Convert to fraction form
    8,489.61/11,727.48 = 8,074.43/x
  3. Step 3: Cross multiply
    8,489.61x = 11,727.48 × 8,074.43
  4. Step 4: Simplify right side
    8,489.61x = 94,692,617.33
  5. Step 5: Solve for x
    x = 94,692,617.33/8,489.61
  6. Step 6: Final answer
    x = 11,153.94

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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.