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Finding the Fourth Proportional to 12,605.56, 18,906.26 and 4,706

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Solution

The fourth proportional to 12,605.56, 18,906.26 and 4,706 is: 7,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.56 : 18,906.26 = 4,706 : x
  2. Step 2: Convert to fraction form
    12,605.56/18,906.26 = 4,706/x
  3. Step 3: Cross multiply
    12,605.56x = 18,906.26 × 4,706
  4. Step 4: Simplify right side
    12,605.56x = 88,972,859.56
  5. Step 5: Solve for x
    x = 88,972,859.56/12,605.56
  6. Step 6: Final answer
    x = 7,058.22

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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.