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Finding the Fourth Proportional to 3,579.64, 5,369.74 and 1,388.20

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Solution

The fourth proportional to 3,579.64, 5,369.74 and 1,388.20 is: 2,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.64 : 5,369.74 = 1,388.20 : x
  2. Step 2: Convert to fraction form
    3,579.64/5,369.74 = 1,388.20/x
  3. Step 3: Cross multiply
    3,579.64x = 5,369.74 × 1,388.20
  4. Step 4: Simplify right side
    3,579.64x = 7,454,273.07
  5. Step 5: Solve for x
    x = 7,454,273.07/3,579.64
  6. Step 6: Final answer
    x = 2,082.41

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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.