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Finding the Fourth Proportional to 3,136.73, 4,705.11 and 945.45

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Solution

The fourth proportional to 3,136.73, 4,705.11 and 945.45 is: 1,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.73 : 4,705.11 = 945.45 : x
  2. Step 2: Convert to fraction form
    3,136.73/4,705.11 = 945.45/x
  3. Step 3: Cross multiply
    3,136.73x = 4,705.11 × 945.45
  4. Step 4: Simplify right side
    3,136.73x = 4,448,446.25
  5. Step 5: Solve for x
    x = 4,448,446.25/3,136.73
  6. Step 6: Final answer
    x = 1,418.18

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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.