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Finding the Fourth Proportional to 3,674.86, 5,512.97 and 1,209.78

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Solution

The fourth proportional to 3,674.86, 5,512.97 and 1,209.78 is: 1,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.86 : 5,512.97 = 1,209.78 : x
  2. Step 2: Convert to fraction form
    3,674.86/5,512.97 = 1,209.78/x
  3. Step 3: Cross multiply
    3,674.86x = 5,512.97 × 1,209.78
  4. Step 4: Simplify right side
    3,674.86x = 6,669,470.07
  5. Step 5: Solve for x
    x = 6,669,470.07/3,674.86
  6. Step 6: Final answer
    x = 1,814.89

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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.