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Finding the Fourth Proportional to 3,522.96, 5,282.64 and 1,879.20

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Solution

The fourth proportional to 3,522.96, 5,282.64 and 1,879.20 is: 2,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.96 : 5,282.64 = 1,879.20 : x
  2. Step 2: Convert to fraction form
    3,522.96/5,282.64 = 1,879.20/x
  3. Step 3: Cross multiply
    3,522.96x = 5,282.64 × 1,879.20
  4. Step 4: Simplify right side
    3,522.96x = 9,927,137.09
  5. Step 5: Solve for x
    x = 9,927,137.09/3,522.96
  6. Step 6: Final answer
    x = 2,817.84

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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.