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Finding the Fourth Proportional to 3,720.44, 5,579.76 and 1,529.78

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Solution

The fourth proportional to 3,720.44, 5,579.76 and 1,529.78 is: 2,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.44 : 5,579.76 = 1,529.78 : x
  2. Step 2: Convert to fraction form
    3,720.44/5,579.76 = 1,529.78/x
  3. Step 3: Cross multiply
    3,720.44x = 5,579.76 × 1,529.78
  4. Step 4: Simplify right side
    3,720.44x = 8,535,805.25
  5. Step 5: Solve for x
    x = 8,535,805.25/3,720.44
  6. Step 6: Final answer
    x = 2,294.30

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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.