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Finding the Fourth Proportional to 3,906.75, 5,860.13 and 1,170.75

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Solution

The fourth proportional to 3,906.75, 5,860.13 and 1,170.75 is: 1,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.75 : 5,860.13 = 1,170.75 : x
  2. Step 2: Convert to fraction form
    3,906.75/5,860.13 = 1,170.75/x
  3. Step 3: Cross multiply
    3,906.75x = 5,860.13 × 1,170.75
  4. Step 4: Simplify right side
    3,906.75x = 6,860,741.34
  5. Step 5: Solve for x
    x = 6,860,741.34/3,906.75
  6. Step 6: Final answer
    x = 1,756.13

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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.