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Finding the Fourth Proportional to 8,139, 11,231.88 and 4,413

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Solution

The fourth proportional to 8,139, 11,231.88 and 4,413 is: 6,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139 : 11,231.88 = 4,413 : x
  2. Step 2: Convert to fraction form
    8,139/11,231.88 = 4,413/x
  3. Step 3: Cross multiply
    8,139x = 11,231.88 × 4,413
  4. Step 4: Simplify right side
    8,139x = 49,566,286.44
  5. Step 5: Solve for x
    x = 49,566,286.44/8,139
  6. Step 6: Final answer
    x = 6,089.97

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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.