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Finding the Fourth Proportional to 3,250, 4,470.84 and 2,849.86

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Solution

The fourth proportional to 3,250, 4,470.84 and 2,849.86 is: 3,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250 : 4,470.84 = 2,849.86 : x
  2. Step 2: Convert to fraction form
    3,250/4,470.84 = 2,849.86/x
  3. Step 3: Cross multiply
    3,250x = 4,470.84 × 2,849.86
  4. Step 4: Simplify right side
    3,250x = 12,741,268.08
  5. Step 5: Solve for x
    x = 12,741,268.08/3,250
  6. Step 6: Final answer
    x = 3,920.39

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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.