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Finding the Fourth Proportional to 3,136.64, 4,705.20 and 828.14

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Solution

The fourth proportional to 3,136.64, 4,705.20 and 828.14 is: 1,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.64 : 4,705.20 = 828.14 : x
  2. Step 2: Convert to fraction form
    3,136.64/4,705.20 = 828.14/x
  3. Step 3: Cross multiply
    3,136.64x = 4,705.20 × 828.14
  4. Step 4: Simplify right side
    3,136.64x = 3,896,564.33
  5. Step 5: Solve for x
    x = 3,896,564.33/3,136.64
  6. Step 6: Final answer
    x = 1,242.27

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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.