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Finding the Fourth Proportional to 12,564.73, 18,819.01 and 9,786.97

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Solution

The fourth proportional to 12,564.73, 18,819.01 and 9,786.97 is: 14,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.73 : 18,819.01 = 9,786.97 : x
  2. Step 2: Convert to fraction form
    12,564.73/18,819.01 = 9,786.97/x
  3. Step 3: Cross multiply
    12,564.73x = 18,819.01 × 9,786.97
  4. Step 4: Simplify right side
    12,564.73x = 184,181,086.30
  5. Step 5: Solve for x
    x = 184,181,086.30/12,564.73
  6. Step 6: Final answer
    x = 14,658.58

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1.5x scale

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.