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Finding the Fourth Proportional to 8,113.44, 12,170.16 and 3,182.88

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Solution

The fourth proportional to 8,113.44, 12,170.16 and 3,182.88 is: 4,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.44 : 12,170.16 = 3,182.88 : x
  2. Step 2: Convert to fraction form
    8,113.44/12,170.16 = 3,182.88/x
  3. Step 3: Cross multiply
    8,113.44x = 12,170.16 × 3,182.88
  4. Step 4: Simplify right side
    8,113.44x = 38,736,158.86
  5. Step 5: Solve for x
    x = 38,736,158.86/8,113.44
  6. Step 6: Final answer
    x = 4,774.32

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.