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Finding the Fourth Proportional to 3,136.62, 4,705.46 and 945.16

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Solution

The fourth proportional to 3,136.62, 4,705.46 and 945.16 is: 1,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.62 : 4,705.46 = 945.16 : x
  2. Step 2: Convert to fraction form
    3,136.62/4,705.46 = 945.16/x
  3. Step 3: Cross multiply
    3,136.62x = 4,705.46 × 945.16
  4. Step 4: Simplify right side
    3,136.62x = 4,447,412.57
  5. Step 5: Solve for x
    x = 4,447,412.57/3,136.62
  6. Step 6: Final answer
    x = 1,417.90

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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.