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Finding the Fourth Proportional to 2,428.65, 3,640.82 and 967.41

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Solution

The fourth proportional to 2,428.65, 3,640.82 and 967.41 is: 1,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.65 : 3,640.82 = 967.41 : x
  2. Step 2: Convert to fraction form
    2,428.65/3,640.82 = 967.41/x
  3. Step 3: Cross multiply
    2,428.65x = 3,640.82 × 967.41
  4. Step 4: Simplify right side
    2,428.65x = 3,522,160.84
  5. Step 5: Solve for x
    x = 3,522,160.84/2,428.65
  6. Step 6: Final answer
    x = 1,450.25

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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.