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Finding the Fourth Proportional to 18,731.78, 28,097.48 and 7,635.86

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Solution

The fourth proportional to 18,731.78, 28,097.48 and 7,635.86 is: 11,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731.78 : 28,097.48 = 7,635.86 : x
  2. Step 2: Convert to fraction form
    18,731.78/28,097.48 = 7,635.86/x
  3. Step 3: Cross multiply
    18,731.78x = 28,097.48 × 7,635.86
  4. Step 4: Simplify right side
    18,731.78x = 214,548,423.63
  5. Step 5: Solve for x
    x = 214,548,423.63/18,731.78
  6. Step 6: Final answer
    x = 11,453.71

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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.