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Finding the Fourth Proportional to 3,620, 5,433.06 and 1,648.60

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Solution

The fourth proportional to 3,620, 5,433.06 and 1,648.60 is: 2,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620 : 5,433.06 = 1,648.60 : x
  2. Step 2: Convert to fraction form
    3,620/5,433.06 = 1,648.60/x
  3. Step 3: Cross multiply
    3,620x = 5,433.06 × 1,648.60
  4. Step 4: Simplify right side
    3,620x = 8,956,942.72
  5. Step 5: Solve for x
    x = 8,956,942.72/3,620
  6. Step 6: Final answer
    x = 2,474.29

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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.