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Finding the Fourth Proportional to 6,411.75, 8,849.72 and 4,169.75

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Solution

The fourth proportional to 6,411.75, 8,849.72 and 4,169.75 is: 5,755.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.75 : 8,849.72 = 4,169.75 : x
  2. Step 2: Convert to fraction form
    6,411.75/8,849.72 = 4,169.75/x
  3. Step 3: Cross multiply
    6,411.75x = 8,849.72 × 4,169.75
  4. Step 4: Simplify right side
    6,411.75x = 36,901,054.87
  5. Step 5: Solve for x
    x = 36,901,054.87/6,411.75
  6. Step 6: Final answer
    x = 5,755.22

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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.