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Finding the Fourth Proportional to 8,771.82, 12,098.67 and 5,789.94

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Solution

The fourth proportional to 8,771.82, 12,098.67 and 5,789.94 is: 7,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.82 : 12,098.67 = 5,789.94 : x
  2. Step 2: Convert to fraction form
    8,771.82/12,098.67 = 5,789.94/x
  3. Step 3: Cross multiply
    8,771.82x = 12,098.67 × 5,789.94
  4. Step 4: Simplify right side
    8,771.82x = 70,050,573.38
  5. Step 5: Solve for x
    x = 70,050,573.38/8,771.82
  6. Step 6: Final answer
    x = 7,985.87

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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.