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Finding the Fourth Proportional to 6,701.32, 10,049.00 and 3,580.75

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Solution

The fourth proportional to 6,701.32, 10,049.00 and 3,580.75 is: 5,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.32 : 10,049.00 = 3,580.75 : x
  2. Step 2: Convert to fraction form
    6,701.32/10,049.00 = 3,580.75/x
  3. Step 3: Cross multiply
    6,701.32x = 10,049.00 × 3,580.75
  4. Step 4: Simplify right side
    6,701.32x = 35,982,913.72
  5. Step 5: Solve for x
    x = 35,982,913.72/6,701.32
  6. Step 6: Final answer
    x = 5,369.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.