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Finding the Fourth Proportional to 13,122, 18,114.82 and 9,091.88

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Solution

The fourth proportional to 13,122, 18,114.82 and 9,091.88 is: 12,551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 18,114.82 = 9,091.88 : x
  2. Step 2: Convert to fraction form
    13,122/18,114.82 = 9,091.88/x
  3. Step 3: Cross multiply
    13,122x = 18,114.82 × 9,091.88
  4. Step 4: Simplify right side
    13,122x = 164,697,861.44
  5. Step 5: Solve for x
    x = 164,697,861.44/13,122
  6. Step 6: Final answer
    x = 12,551.28

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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.