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Finding the Fourth Proportional to 1,629.96, 2,438.85 and 969.43

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Solution

The fourth proportional to 1,629.96, 2,438.85 and 969.43 is: 1,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.96 : 2,438.85 = 969.43 : x
  2. Step 2: Convert to fraction form
    1,629.96/2,438.85 = 969.43/x
  3. Step 3: Cross multiply
    1,629.96x = 2,438.85 × 969.43
  4. Step 4: Simplify right side
    1,629.96x = 2,364,295.59
  5. Step 5: Solve for x
    x = 2,364,295.59/1,629.96
  6. Step 6: Final answer
    x = 1,450.52

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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.