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Finding the Fourth Proportional to 1,608.96, 2,419.20 and 1,522.08

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Solution

The fourth proportional to 1,608.96, 2,419.20 and 1,522.08 is: 2,288.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.96 : 2,419.20 = 1,522.08 : x
  2. Step 2: Convert to fraction form
    1,608.96/2,419.20 = 1,522.08/x
  3. Step 3: Cross multiply
    1,608.96x = 2,419.20 × 1,522.08
  4. Step 4: Simplify right side
    1,608.96x = 3,682,215.94
  5. Step 5: Solve for x
    x = 3,682,215.94/1,608.96
  6. Step 6: Final answer
    x = 2,288.57

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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.