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Finding the Fourth Proportional to 6,664.62, 9,989.64 and 4,200.60

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Solution

The fourth proportional to 6,664.62, 9,989.64 and 4,200.60 is: 6,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.62 : 9,989.64 = 4,200.60 : x
  2. Step 2: Convert to fraction form
    6,664.62/9,989.64 = 4,200.60/x
  3. Step 3: Cross multiply
    6,664.62x = 9,989.64 × 4,200.60
  4. Step 4: Simplify right side
    6,664.62x = 41,962,481.78
  5. Step 5: Solve for x
    x = 41,962,481.78/6,664.62
  6. Step 6: Final answer
    x = 6,296.31

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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.