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Finding the Fourth Proportional to 3,202.50, 4,806.74 and 1,643.64

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Solution

The fourth proportional to 3,202.50, 4,806.74 and 1,643.64 is: 2,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.50 : 4,806.74 = 1,643.64 : x
  2. Step 2: Convert to fraction form
    3,202.50/4,806.74 = 1,643.64/x
  3. Step 3: Cross multiply
    3,202.50x = 4,806.74 × 1,643.64
  4. Step 4: Simplify right side
    3,202.50x = 7,900,550.13
  5. Step 5: Solve for x
    x = 7,900,550.13/3,202.50
  6. Step 6: Final answer
    x = 2,466.99

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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.