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Finding the Fourth Proportional to 2,123.46, 3,185.19 and 736.80

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Solution

The fourth proportional to 2,123.46, 3,185.19 and 736.80 is: 1,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.46 : 3,185.19 = 736.80 : x
  2. Step 2: Convert to fraction form
    2,123.46/3,185.19 = 736.80/x
  3. Step 3: Cross multiply
    2,123.46x = 3,185.19 × 736.80
  4. Step 4: Simplify right side
    2,123.46x = 2,346,847.99
  5. Step 5: Solve for x
    x = 2,346,847.99/2,123.46
  6. Step 6: Final answer
    x = 1,105.20

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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.