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Finding the Fourth Proportional to 8,512, 11,738.17 and 8,019.92

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Solution

The fourth proportional to 8,512, 11,738.17 and 8,019.92 is: 11,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 11,738.17 = 8,019.92 : x
  2. Step 2: Convert to fraction form
    8,512/11,738.17 = 8,019.92/x
  3. Step 3: Cross multiply
    8,512x = 11,738.17 × 8,019.92
  4. Step 4: Simplify right side
    8,512x = 94,139,184.35
  5. Step 5: Solve for x
    x = 94,139,184.35/8,512
  6. Step 6: Final answer
    x = 11,059.58

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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.