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Finding the Fourth Proportional to 6,147.60, 9,222.60 and 2,449.20

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Solution

The fourth proportional to 6,147.60, 9,222.60 and 2,449.20 is: 3,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.60 : 9,222.60 = 2,449.20 : x
  2. Step 2: Convert to fraction form
    6,147.60/9,222.60 = 2,449.20/x
  3. Step 3: Cross multiply
    6,147.60x = 9,222.60 × 2,449.20
  4. Step 4: Simplify right side
    6,147.60x = 22,587,991.92
  5. Step 5: Solve for x
    x = 22,587,991.92/6,147.60
  6. Step 6: Final answer
    x = 3,674.28

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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.