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Finding the Fourth Proportional to 4,906, 7,362.24 and 1,828

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Solution

The fourth proportional to 4,906, 7,362.24 and 1,828 is: 2,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906 : 7,362.24 = 1,828 : x
  2. Step 2: Convert to fraction form
    4,906/7,362.24 = 1,828/x
  3. Step 3: Cross multiply
    4,906x = 7,362.24 × 1,828
  4. Step 4: Simplify right side
    4,906x = 13,458,174.72
  5. Step 5: Solve for x
    x = 13,458,174.72/4,906
  6. Step 6: Final answer
    x = 2,743.21

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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.