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Finding the Fourth Proportional to 3,225.44, 4,450.76 and 1,809

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Solution

The fourth proportional to 3,225.44, 4,450.76 and 1,809 is: 2,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.44 : 4,450.76 = 1,809 : x
  2. Step 2: Convert to fraction form
    3,225.44/4,450.76 = 1,809/x
  3. Step 3: Cross multiply
    3,225.44x = 4,450.76 × 1,809
  4. Step 4: Simplify right side
    3,225.44x = 8,051,424.84
  5. Step 5: Solve for x
    x = 8,051,424.84/3,225.44
  6. Step 6: Final answer
    x = 2,496.23

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1.5x scale

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.