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Finding the Fourth Proportional to 3,820.79, 5,731.20 and 1,355.69

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Solution

The fourth proportional to 3,820.79, 5,731.20 and 1,355.69 is: 2,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.79 : 5,731.20 = 1,355.69 : x
  2. Step 2: Convert to fraction form
    3,820.79/5,731.20 = 1,355.69/x
  3. Step 3: Cross multiply
    3,820.79x = 5,731.20 × 1,355.69
  4. Step 4: Simplify right side
    3,820.79x = 7,769,701.87
  5. Step 5: Solve for x
    x = 7,769,701.87/3,820.79
  6. Step 6: Final answer
    x = 2,033.53

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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.