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Finding the Fourth Proportional to 19,893.69, 29,836.86 and 8,046.81

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Solution

The fourth proportional to 19,893.69, 29,836.86 and 8,046.81 is: 12,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.69 : 29,836.86 = 8,046.81 : x
  2. Step 2: Convert to fraction form
    19,893.69/29,836.86 = 8,046.81/x
  3. Step 3: Cross multiply
    19,893.69x = 29,836.86 × 8,046.81
  4. Step 4: Simplify right side
    19,893.69x = 240,091,543.42
  5. Step 5: Solve for x
    x = 240,091,543.42/19,893.69
  6. Step 6: Final answer
    x = 12,068.73

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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.