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Finding the Fourth Proportional to 6,137.20, 9,205.80 and 5,522.80

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Solution

The fourth proportional to 6,137.20, 9,205.80 and 5,522.80 is: 8,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.20 : 9,205.80 = 5,522.80 : x
  2. Step 2: Convert to fraction form
    6,137.20/9,205.80 = 5,522.80/x
  3. Step 3: Cross multiply
    6,137.20x = 9,205.80 × 5,522.80
  4. Step 4: Simplify right side
    6,137.20x = 50,841,792.24
  5. Step 5: Solve for x
    x = 50,841,792.24/6,137.20
  6. Step 6: Final answer
    x = 8,284.20

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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.