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Finding the Fourth Proportional to 11,665.50, 17,500.73 and 3,768.47

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Solution

The fourth proportional to 11,665.50, 17,500.73 and 3,768.47 is: 5,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.50 : 17,500.73 = 3,768.47 : x
  2. Step 2: Convert to fraction form
    11,665.50/17,500.73 = 3,768.47/x
  3. Step 3: Cross multiply
    11,665.50x = 17,500.73 × 3,768.47
  4. Step 4: Simplify right side
    11,665.50x = 65,950,956.46
  5. Step 5: Solve for x
    x = 65,950,956.46/11,665.50
  6. Step 6: Final answer
    x = 5,653.50

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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.