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Finding the Fourth Proportional to 3,136.48, 4,704.74 and 945.20

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Solution

The fourth proportional to 3,136.48, 4,704.74 and 945.20 is: 1,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.48 : 4,704.74 = 945.20 : x
  2. Step 2: Convert to fraction form
    3,136.48/4,704.74 = 945.20/x
  3. Step 3: Cross multiply
    3,136.48x = 4,704.74 × 945.20
  4. Step 4: Simplify right side
    3,136.48x = 4,446,920.25
  5. Step 5: Solve for x
    x = 4,446,920.25/3,136.48
  6. Step 6: Final answer
    x = 1,417.81

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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.