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Finding the Fourth Proportional to 13,056.80, 18,014 and 8,343.84

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Solution

The fourth proportional to 13,056.80, 18,014 and 8,343.84 is: 11,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.80 : 18,014 = 8,343.84 : x
  2. Step 2: Convert to fraction form
    13,056.80/18,014 = 8,343.84/x
  3. Step 3: Cross multiply
    13,056.80x = 18,014 × 8,343.84
  4. Step 4: Simplify right side
    13,056.80x = 150,305,933.76
  5. Step 5: Solve for x
    x = 150,305,933.76/13,056.80
  6. Step 6: Final answer
    x = 11,511.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.