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Finding the Fourth Proportional to 28,665, 43,002.42 and 8,942.88

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Solution

The fourth proportional to 28,665, 43,002.42 and 8,942.88 is: 13,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,665 : 43,002.42 = 8,942.88 : x
  2. Step 2: Convert to fraction form
    28,665/43,002.42 = 8,942.88/x
  3. Step 3: Cross multiply
    28,665x = 43,002.42 × 8,942.88
  4. Step 4: Simplify right side
    28,665x = 384,565,481.77
  5. Step 5: Solve for x
    x = 384,565,481.77/28,665
  6. Step 6: Final answer
    x = 13,415.85

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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.