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Finding the Fourth Proportional to 10,774.56, 16,161.84 and 2,983.20

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Solution

The fourth proportional to 10,774.56, 16,161.84 and 2,983.20 is: 4,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.56 : 16,161.84 = 2,983.20 : x
  2. Step 2: Convert to fraction form
    10,774.56/16,161.84 = 2,983.20/x
  3. Step 3: Cross multiply
    10,774.56x = 16,161.84 × 2,983.20
  4. Step 4: Simplify right side
    10,774.56x = 48,214,001.09
  5. Step 5: Solve for x
    x = 48,214,001.09/10,774.56
  6. Step 6: Final answer
    x = 4,474.80

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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.