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Finding the Fourth Proportional to 3,489.53, 5,233.86 and 1,297.67

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Solution

The fourth proportional to 3,489.53, 5,233.86 and 1,297.67 is: 1,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.53 : 5,233.86 = 1,297.67 : x
  2. Step 2: Convert to fraction form
    3,489.53/5,233.86 = 1,297.67/x
  3. Step 3: Cross multiply
    3,489.53x = 5,233.86 × 1,297.67
  4. Step 4: Simplify right side
    3,489.53x = 6,791,796.94
  5. Step 5: Solve for x
    x = 6,791,796.94/3,489.53
  6. Step 6: Final answer
    x = 1,946.34

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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.