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Finding the Fourth Proportional to 14,381.52, 19,843.54 and 8,412

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Solution

The fourth proportional to 14,381.52, 19,843.54 and 8,412 is: 11,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.52 : 19,843.54 = 8,412 : x
  2. Step 2: Convert to fraction form
    14,381.52/19,843.54 = 8,412/x
  3. Step 3: Cross multiply
    14,381.52x = 19,843.54 × 8,412
  4. Step 4: Simplify right side
    14,381.52x = 166,923,858.48
  5. Step 5: Solve for x
    x = 166,923,858.48/14,381.52
  6. Step 6: Final answer
    x = 11,606.83

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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.