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Finding the Fourth Proportional to 10,783, 16,174.50 and 2,991.88

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Solution

The fourth proportional to 10,783, 16,174.50 and 2,991.88 is: 4,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783 : 16,174.50 = 2,991.88 : x
  2. Step 2: Convert to fraction form
    10,783/16,174.50 = 2,991.88/x
  3. Step 3: Cross multiply
    10,783x = 16,174.50 × 2,991.88
  4. Step 4: Simplify right side
    10,783x = 48,392,163.06
  5. Step 5: Solve for x
    x = 48,392,163.06/10,783
  6. Step 6: Final answer
    x = 4,487.82

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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.