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Finding the Fourth Proportional to 6,105.60, 9,147.60 and 5,176.80

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Solution

The fourth proportional to 6,105.60, 9,147.60 and 5,176.80 is: 7,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.60 : 9,147.60 = 5,176.80 : x
  2. Step 2: Convert to fraction form
    6,105.60/9,147.60 = 5,176.80/x
  3. Step 3: Cross multiply
    6,105.60x = 9,147.60 × 5,176.80
  4. Step 4: Simplify right side
    6,105.60x = 47,355,295.68
  5. Step 5: Solve for x
    x = 47,355,295.68/6,105.60
  6. Step 6: Final answer
    x = 7,756.04

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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.