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Finding the Fourth Proportional to 2,969.21, 4,453.81 and 889.43

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Solution

The fourth proportional to 2,969.21, 4,453.81 and 889.43 is: 1,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.21 : 4,453.81 = 889.43 : x
  2. Step 2: Convert to fraction form
    2,969.21/4,453.81 = 889.43/x
  3. Step 3: Cross multiply
    2,969.21x = 4,453.81 × 889.43
  4. Step 4: Simplify right side
    2,969.21x = 3,961,355.29
  5. Step 5: Solve for x
    x = 3,961,355.29/2,969.21
  6. Step 6: Final answer
    x = 1,334.15

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1.5x scale

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.