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Finding the Fourth Proportional to 6,784.64, 9,361.68 and 3,990.68

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Solution

The fourth proportional to 6,784.64, 9,361.68 and 3,990.68 is: 5,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.64 : 9,361.68 = 3,990.68 : x
  2. Step 2: Convert to fraction form
    6,784.64/9,361.68 = 3,990.68/x
  3. Step 3: Cross multiply
    6,784.64x = 9,361.68 × 3,990.68
  4. Step 4: Simplify right side
    6,784.64x = 37,359,469.14
  5. Step 5: Solve for x
    x = 37,359,469.14/6,784.64
  6. Step 6: Final answer
    x = 5,506.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.