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Finding the Fourth Proportional to 6,137.79, 9,209.41 and 3,215.41

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Solution

The fourth proportional to 6,137.79, 9,209.41 and 3,215.41 is: 4,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.79 : 9,209.41 = 3,215.41 : x
  2. Step 2: Convert to fraction form
    6,137.79/9,209.41 = 3,215.41/x
  3. Step 3: Cross multiply
    6,137.79x = 9,209.41 × 3,215.41
  4. Step 4: Simplify right side
    6,137.79x = 29,612,029.01
  5. Step 5: Solve for x
    x = 29,612,029.01/6,137.79
  6. Step 6: Final answer
    x = 4,824.54

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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.