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Finding the Fourth Proportional to 11,770.22, 17,638.92 and 8,845.10

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Solution

The fourth proportional to 11,770.22, 17,638.92 and 8,845.10 is: 13,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.22 : 17,638.92 = 8,845.10 : x
  2. Step 2: Convert to fraction form
    11,770.22/17,638.92 = 8,845.10/x
  3. Step 3: Cross multiply
    11,770.22x = 17,638.92 × 8,845.10
  4. Step 4: Simplify right side
    11,770.22x = 156,017,967.07
  5. Step 5: Solve for x
    x = 156,017,967.07/11,770.22
  6. Step 6: Final answer
    x = 13,255.32

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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.