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Finding the Fourth Proportional to 2,388.96, 3,582.96 and 1,414.32

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Solution

The fourth proportional to 2,388.96, 3,582.96 and 1,414.32 is: 2,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.96 : 3,582.96 = 1,414.32 : x
  2. Step 2: Convert to fraction form
    2,388.96/3,582.96 = 1,414.32/x
  3. Step 3: Cross multiply
    2,388.96x = 3,582.96 × 1,414.32
  4. Step 4: Simplify right side
    2,388.96x = 5,067,451.99
  5. Step 5: Solve for x
    x = 5,067,451.99/2,388.96
  6. Step 6: Final answer
    x = 2,121.20

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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.