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Finding the Fourth Proportional to 3,813, 5,722.20 and 1,505.04

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Solution

The fourth proportional to 3,813, 5,722.20 and 1,505.04 is: 2,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813 : 5,722.20 = 1,505.04 : x
  2. Step 2: Convert to fraction form
    3,813/5,722.20 = 1,505.04/x
  3. Step 3: Cross multiply
    3,813x = 5,722.20 × 1,505.04
  4. Step 4: Simplify right side
    3,813x = 8,612,139.89
  5. Step 5: Solve for x
    x = 8,612,139.89/3,813
  6. Step 6: Final answer
    x = 2,258.63

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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.