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Finding the Fourth Proportional to 19,299.52, 28,963.12 and 8,214

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Solution

The fourth proportional to 19,299.52, 28,963.12 and 8,214 is: 12,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,299.52 : 28,963.12 = 8,214 : x
  2. Step 2: Convert to fraction form
    19,299.52/28,963.12 = 8,214/x
  3. Step 3: Cross multiply
    19,299.52x = 28,963.12 × 8,214
  4. Step 4: Simplify right side
    19,299.52x = 237,903,067.68
  5. Step 5: Solve for x
    x = 237,903,067.68/19,299.52
  6. Step 6: Final answer
    x = 12,326.89

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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.