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Finding the Fourth Proportional to 3,136.63, 4,705.21 and 828.13

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Solution

The fourth proportional to 3,136.63, 4,705.21 and 828.13 is: 1,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.63 : 4,705.21 = 828.13 : x
  2. Step 2: Convert to fraction form
    3,136.63/4,705.21 = 828.13/x
  3. Step 3: Cross multiply
    3,136.63x = 4,705.21 × 828.13
  4. Step 4: Simplify right side
    3,136.63x = 3,896,502.03
  5. Step 5: Solve for x
    x = 3,896,502.03/3,136.63
  6. Step 6: Final answer
    x = 1,242.26

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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.