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Finding the Fourth Proportional to 3,151.53, 4,729.05 and 1,396.86

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Solution

The fourth proportional to 3,151.53, 4,729.05 and 1,396.86 is: 2,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.53 : 4,729.05 = 1,396.86 : x
  2. Step 2: Convert to fraction form
    3,151.53/4,729.05 = 1,396.86/x
  3. Step 3: Cross multiply
    3,151.53x = 4,729.05 × 1,396.86
  4. Step 4: Simplify right side
    3,151.53x = 6,605,820.78
  5. Step 5: Solve for x
    x = 6,605,820.78/3,151.53
  6. Step 6: Final answer
    x = 2,096.07

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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.