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Finding the Fourth Proportional to 2,149.41, 3,222.73 and 762.49

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Solution

The fourth proportional to 2,149.41, 3,222.73 and 762.49 is: 1,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.41 : 3,222.73 = 762.49 : x
  2. Step 2: Convert to fraction form
    2,149.41/3,222.73 = 762.49/x
  3. Step 3: Cross multiply
    2,149.41x = 3,222.73 × 762.49
  4. Step 4: Simplify right side
    2,149.41x = 2,457,299.40
  5. Step 5: Solve for x
    x = 2,457,299.40/2,149.41
  6. Step 6: Final answer
    x = 1,143.24

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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.