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Finding the Fourth Proportional to 8,113.94, 12,170.91 and 3,185.90

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Solution

The fourth proportional to 8,113.94, 12,170.91 and 3,185.90 is: 4,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.94 : 12,170.91 = 3,185.90 : x
  2. Step 2: Convert to fraction form
    8,113.94/12,170.91 = 3,185.90/x
  3. Step 3: Cross multiply
    8,113.94x = 12,170.91 × 3,185.90
  4. Step 4: Simplify right side
    8,113.94x = 38,775,302.17
  5. Step 5: Solve for x
    x = 38,775,302.17/8,113.94
  6. Step 6: Final answer
    x = 4,778.85

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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.