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Finding the Fourth Proportional to 3,751.80, 5,627.70 and 3,136.20

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Solution

The fourth proportional to 3,751.80, 5,627.70 and 3,136.20 is: 4,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.80 : 5,627.70 = 3,136.20 : x
  2. Step 2: Convert to fraction form
    3,751.80/5,627.70 = 3,136.20/x
  3. Step 3: Cross multiply
    3,751.80x = 5,627.70 × 3,136.20
  4. Step 4: Simplify right side
    3,751.80x = 17,649,592.74
  5. Step 5: Solve for x
    x = 17,649,592.74/3,751.80
  6. Step 6: Final answer
    x = 4,704.30

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1.5x scale

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.