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Finding the Fourth Proportional to 3,136.70, 4,705.04 and 945.42

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Solution

The fourth proportional to 3,136.70, 4,705.04 and 945.42 is: 1,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.70 : 4,705.04 = 945.42 : x
  2. Step 2: Convert to fraction form
    3,136.70/4,705.04 = 945.42/x
  3. Step 3: Cross multiply
    3,136.70x = 4,705.04 × 945.42
  4. Step 4: Simplify right side
    3,136.70x = 4,448,234.19
  5. Step 5: Solve for x
    x = 4,448,234.19/3,136.70
  6. Step 6: Final answer
    x = 1,418.13

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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.