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Finding the Fourth Proportional to 6,388.48, 9,575.68 and 3,792.64

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Solution

The fourth proportional to 6,388.48, 9,575.68 and 3,792.64 is: 5,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.48 : 9,575.68 = 3,792.64 : x
  2. Step 2: Convert to fraction form
    6,388.48/9,575.68 = 3,792.64/x
  3. Step 3: Cross multiply
    6,388.48x = 9,575.68 × 3,792.64
  4. Step 4: Simplify right side
    6,388.48x = 36,317,107.00
  5. Step 5: Solve for x
    x = 36,317,107.00/6,388.48
  6. Step 6: Final answer
    x = 5,684.78

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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.