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Finding the Fourth Proportional to 3,136.62, 4,705.02 and 828.12

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Solution

The fourth proportional to 3,136.62, 4,705.02 and 828.12 is: 1,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.62 : 4,705.02 = 828.12 : x
  2. Step 2: Convert to fraction form
    3,136.62/4,705.02 = 828.12/x
  3. Step 3: Cross multiply
    3,136.62x = 4,705.02 × 828.12
  4. Step 4: Simplify right side
    3,136.62x = 3,896,321.16
  5. Step 5: Solve for x
    x = 3,896,321.16/3,136.62
  6. Step 6: Final answer
    x = 1,242.20

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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.