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Finding the Fourth Proportional to 3,709.02, 5,119 and 2,136.80

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Solution

The fourth proportional to 3,709.02, 5,119 and 2,136.80 is: 2,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.02 : 5,119 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    3,709.02/5,119 = 2,136.80/x
  3. Step 3: Cross multiply
    3,709.02x = 5,119 × 2,136.80
  4. Step 4: Simplify right side
    3,709.02x = 10,938,279.20
  5. Step 5: Solve for x
    x = 10,938,279.20/3,709.02
  6. Step 6: Final answer
    x = 2,949.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.