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Finding the Fourth Proportional to 2,641.44, 3,644 and 1,522.08

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Solution

The fourth proportional to 2,641.44, 3,644 and 1,522.08 is: 2,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.44 : 3,644 = 1,522.08 : x
  2. Step 2: Convert to fraction form
    2,641.44/3,644 = 1,522.08/x
  3. Step 3: Cross multiply
    2,641.44x = 3,644 × 1,522.08
  4. Step 4: Simplify right side
    2,641.44x = 5,546,459.52
  5. Step 5: Solve for x
    x = 5,546,459.52/2,641.44
  6. Step 6: Final answer
    x = 2,099.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.