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Finding the Fourth Proportional to 11,185, 16,778.73 and 4,259.50

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Solution

The fourth proportional to 11,185, 16,778.73 and 4,259.50 is: 6,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185 : 16,778.73 = 4,259.50 : x
  2. Step 2: Convert to fraction form
    11,185/16,778.73 = 4,259.50/x
  3. Step 3: Cross multiply
    11,185x = 16,778.73 × 4,259.50
  4. Step 4: Simplify right side
    11,185x = 71,469,000.44
  5. Step 5: Solve for x
    x = 71,469,000.44/11,185
  6. Step 6: Final answer
    x = 6,389.72

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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.