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Finding the Fourth Proportional to 36,078, 49,787.64 and 21,174

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Solution

The fourth proportional to 36,078, 49,787.64 and 21,174 is: 29,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078 : 49,787.64 = 21,174 : x
  2. Step 2: Convert to fraction form
    36,078/49,787.64 = 21,174/x
  3. Step 3: Cross multiply
    36,078x = 49,787.64 × 21,174
  4. Step 4: Simplify right side
    36,078x = 1,054,203,489.36
  5. Step 5: Solve for x
    x = 1,054,203,489.36/36,078
  6. Step 6: Final answer
    x = 29,220.12

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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.