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Finding the Fourth Proportional to 6,685.44, 10,029.60 and 3,609.60

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Solution

The fourth proportional to 6,685.44, 10,029.60 and 3,609.60 is: 5,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.44 : 10,029.60 = 3,609.60 : x
  2. Step 2: Convert to fraction form
    6,685.44/10,029.60 = 3,609.60/x
  3. Step 3: Cross multiply
    6,685.44x = 10,029.60 × 3,609.60
  4. Step 4: Simplify right side
    6,685.44x = 36,202,844.16
  5. Step 5: Solve for x
    x = 36,202,844.16/6,685.44
  6. Step 6: Final answer
    x = 5,415.18

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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.