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Finding the Fourth Proportional to 8,112, 11,194.55 and 4,575.21

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Solution

The fourth proportional to 8,112, 11,194.55 and 4,575.21 is: 6,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 11,194.55 = 4,575.21 : x
  2. Step 2: Convert to fraction form
    8,112/11,194.55 = 4,575.21/x
  3. Step 3: Cross multiply
    8,112x = 11,194.55 × 4,575.21
  4. Step 4: Simplify right side
    8,112x = 51,217,394.23
  5. Step 5: Solve for x
    x = 51,217,394.23/8,112
  6. Step 6: Final answer
    x = 6,313.78

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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.