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Finding the Fourth Proportional to 7,661.85, 11,486.97 and 3,914.19

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Solution

The fourth proportional to 7,661.85, 11,486.97 and 3,914.19 is: 5,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.85 : 11,486.97 = 3,914.19 : x
  2. Step 2: Convert to fraction form
    7,661.85/11,486.97 = 3,914.19/x
  3. Step 3: Cross multiply
    7,661.85x = 11,486.97 × 3,914.19
  4. Step 4: Simplify right side
    7,661.85x = 44,962,183.10
  5. Step 5: Solve for x
    x = 44,962,183.10/7,661.85
  6. Step 6: Final answer
    x = 5,868.32

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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.