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Finding the Fourth Proportional to 2,419.62, 3,629.70 and 1,763.52

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Solution

The fourth proportional to 2,419.62, 3,629.70 and 1,763.52 is: 2,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.62 : 3,629.70 = 1,763.52 : x
  2. Step 2: Convert to fraction form
    2,419.62/3,629.70 = 1,763.52/x
  3. Step 3: Cross multiply
    2,419.62x = 3,629.70 × 1,763.52
  4. Step 4: Simplify right side
    2,419.62x = 6,401,048.54
  5. Step 5: Solve for x
    x = 6,401,048.54/2,419.62
  6. Step 6: Final answer
    x = 2,645.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.