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Finding the Fourth Proportional to 12,605.22, 18,905.60 and 4,705.97

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Solution

The fourth proportional to 12,605.22, 18,905.60 and 4,705.97 is: 7,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.22 : 18,905.60 = 4,705.97 : x
  2. Step 2: Convert to fraction form
    12,605.22/18,905.60 = 4,705.97/x
  3. Step 3: Cross multiply
    12,605.22x = 18,905.60 × 4,705.97
  4. Step 4: Simplify right side
    12,605.22x = 88,969,103.67
  5. Step 5: Solve for x
    x = 88,969,103.67/12,605.22
  6. Step 6: Final answer
    x = 7,058.12

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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.