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Finding the Fourth Proportional to 18,930.66, 28,394.96 and 5,782

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Solution

The fourth proportional to 18,930.66, 28,394.96 and 5,782 is: 8,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,930.66 : 28,394.96 = 5,782 : x
  2. Step 2: Convert to fraction form
    18,930.66/28,394.96 = 5,782/x
  3. Step 3: Cross multiply
    18,930.66x = 28,394.96 × 5,782
  4. Step 4: Simplify right side
    18,930.66x = 164,179,658.72
  5. Step 5: Solve for x
    x = 164,179,658.72/18,930.66
  6. Step 6: Final answer
    x = 8,672.69

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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.