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Finding the Fourth Proportional to 8,112.08, 12,110.50 and 7,824.08

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Solution

The fourth proportional to 8,112.08, 12,110.50 and 7,824.08 is: 11,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.08 : 12,110.50 = 7,824.08 : x
  2. Step 2: Convert to fraction form
    8,112.08/12,110.50 = 7,824.08/x
  3. Step 3: Cross multiply
    8,112.08x = 12,110.50 × 7,824.08
  4. Step 4: Simplify right side
    8,112.08x = 94,753,520.84
  5. Step 5: Solve for x
    x = 94,753,520.84/8,112.08
  6. Step 6: Final answer
    x = 11,680.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.