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Finding the Fourth Proportional to 11,182, 16,776.64 and 3,390.80

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Solution

The fourth proportional to 11,182, 16,776.64 and 3,390.80 is: 5,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182 : 16,776.64 = 3,390.80 : x
  2. Step 2: Convert to fraction form
    11,182/16,776.64 = 3,390.80/x
  3. Step 3: Cross multiply
    11,182x = 16,776.64 × 3,390.80
  4. Step 4: Simplify right side
    11,182x = 56,886,230.91
  5. Step 5: Solve for x
    x = 56,886,230.91/11,182
  6. Step 6: Final answer
    x = 5,087.30

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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.