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Finding the Fourth Proportional to 7,850.75, 11,776.37 and 2,378.75

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Solution

The fourth proportional to 7,850.75, 11,776.37 and 2,378.75 is: 3,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.75 : 11,776.37 = 2,378.75 : x
  2. Step 2: Convert to fraction form
    7,850.75/11,776.37 = 2,378.75/x
  3. Step 3: Cross multiply
    7,850.75x = 11,776.37 × 2,378.75
  4. Step 4: Simplify right side
    7,850.75x = 28,013,028.24
  5. Step 5: Solve for x
    x = 28,013,028.24/7,850.75
  6. Step 6: Final answer
    x = 3,568.20

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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.