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Finding the Fourth Proportional to 18,658.73, 27,970.49 and 9,289.88

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Solution

The fourth proportional to 18,658.73, 27,970.49 and 9,289.88 is: 13,926.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658.73 : 27,970.49 = 9,289.88 : x
  2. Step 2: Convert to fraction form
    18,658.73/27,970.49 = 9,289.88/x
  3. Step 3: Cross multiply
    18,658.73x = 27,970.49 × 9,289.88
  4. Step 4: Simplify right side
    18,658.73x = 259,842,495.64
  5. Step 5: Solve for x
    x = 259,842,495.64/18,658.73
  6. Step 6: Final answer
    x = 13,926.06

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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.