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Finding the Fourth Proportional to 3,978.07, 5,489.67 and 2,209.70

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Solution

The fourth proportional to 3,978.07, 5,489.67 and 2,209.70 is: 3,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.07 : 5,489.67 = 2,209.70 : x
  2. Step 2: Convert to fraction form
    3,978.07/5,489.67 = 2,209.70/x
  3. Step 3: Cross multiply
    3,978.07x = 5,489.67 × 2,209.70
  4. Step 4: Simplify right side
    3,978.07x = 12,130,523.80
  5. Step 5: Solve for x
    x = 12,130,523.80/3,978.07
  6. Step 6: Final answer
    x = 3,049.35

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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.