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Finding the Fourth Proportional to 12,381, 18,569.34 and 4,983.54

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Solution

The fourth proportional to 12,381, 18,569.34 and 4,983.54 is: 7,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381 : 18,569.34 = 4,983.54 : x
  2. Step 2: Convert to fraction form
    12,381/18,569.34 = 4,983.54/x
  3. Step 3: Cross multiply
    12,381x = 18,569.34 × 4,983.54
  4. Step 4: Simplify right side
    12,381x = 92,541,048.66
  5. Step 5: Solve for x
    x = 92,541,048.66/12,381
  6. Step 6: Final answer
    x = 7,474.44

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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.