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Finding the Fourth Proportional to 6,161.90, 8,486.16 and 5,766.62

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Solution

The fourth proportional to 6,161.90, 8,486.16 and 5,766.62 is: 7,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.90 : 8,486.16 = 5,766.62 : x
  2. Step 2: Convert to fraction form
    6,161.90/8,486.16 = 5,766.62/x
  3. Step 3: Cross multiply
    6,161.90x = 8,486.16 × 5,766.62
  4. Step 4: Simplify right side
    6,161.90x = 48,936,459.98
  5. Step 5: Solve for x
    x = 48,936,459.98/6,161.90
  6. Step 6: Final answer
    x = 7,941.78

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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.