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Finding the Fourth Proportional to 6,443.62, 9,662.66 and 3,671.58

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Solution

The fourth proportional to 6,443.62, 9,662.66 and 3,671.58 is: 5,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.62 : 9,662.66 = 3,671.58 : x
  2. Step 2: Convert to fraction form
    6,443.62/9,662.66 = 3,671.58/x
  3. Step 3: Cross multiply
    6,443.62x = 9,662.66 × 3,671.58
  4. Step 4: Simplify right side
    6,443.62x = 35,477,229.20
  5. Step 5: Solve for x
    x = 35,477,229.20/6,443.62
  6. Step 6: Final answer
    x = 5,505.79

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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.