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Finding the Fourth Proportional to 6,212.32, 9,315.74 and 3,868.80

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Solution

The fourth proportional to 6,212.32, 9,315.74 and 3,868.80 is: 5,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.32 : 9,315.74 = 3,868.80 : x
  2. Step 2: Convert to fraction form
    6,212.32/9,315.74 = 3,868.80/x
  3. Step 3: Cross multiply
    6,212.32x = 9,315.74 × 3,868.80
  4. Step 4: Simplify right side
    6,212.32x = 36,040,734.91
  5. Step 5: Solve for x
    x = 36,040,734.91/6,212.32
  6. Step 6: Final answer
    x = 5,801.49

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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.