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Finding the Fourth Proportional to 19,913.94, 29,871 and 8,067.94

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Solution

The fourth proportional to 19,913.94, 29,871 and 8,067.94 is: 12,101.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.94 : 29,871 = 8,067.94 : x
  2. Step 2: Convert to fraction form
    19,913.94/29,871 = 8,067.94/x
  3. Step 3: Cross multiply
    19,913.94x = 29,871 × 8,067.94
  4. Step 4: Simplify right side
    19,913.94x = 240,997,435.74
  5. Step 5: Solve for x
    x = 240,997,435.74/19,913.94
  6. Step 6: Final answer
    x = 12,101.95

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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.