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Finding the Fourth Proportional to 9,679.58, 13,361.92 and 6,540.02

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Solution

The fourth proportional to 9,679.58, 13,361.92 and 6,540.02 is: 9,028.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.58 : 13,361.92 = 6,540.02 : x
  2. Step 2: Convert to fraction form
    9,679.58/13,361.92 = 6,540.02/x
  3. Step 3: Cross multiply
    9,679.58x = 13,361.92 × 6,540.02
  4. Step 4: Simplify right side
    9,679.58x = 87,387,241.09
  5. Step 5: Solve for x
    x = 87,387,241.09/9,679.58
  6. Step 6: Final answer
    x = 9,028.00

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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.