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Finding the Fourth Proportional to 3,136.76, 4,704.66 and 828.44

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Solution

The fourth proportional to 3,136.76, 4,704.66 and 828.44 is: 1,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.76 : 4,704.66 = 828.44 : x
  2. Step 2: Convert to fraction form
    3,136.76/4,704.66 = 828.44/x
  3. Step 3: Cross multiply
    3,136.76x = 4,704.66 × 828.44
  4. Step 4: Simplify right side
    3,136.76x = 3,897,528.53
  5. Step 5: Solve for x
    x = 3,897,528.53/3,136.76
  6. Step 6: Final answer
    x = 1,242.53

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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.