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Finding the Fourth Proportional to 13,274.22, 18,318 and 7,305.88

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Solution

The fourth proportional to 13,274.22, 18,318 and 7,305.88 is: 10,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.22 : 18,318 = 7,305.88 : x
  2. Step 2: Convert to fraction form
    13,274.22/18,318 = 7,305.88/x
  3. Step 3: Cross multiply
    13,274.22x = 18,318 × 7,305.88
  4. Step 4: Simplify right side
    13,274.22x = 133,829,109.84
  5. Step 5: Solve for x
    x = 133,829,109.84/13,274.22
  6. Step 6: Final answer
    x = 10,081.88

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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.