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Finding the Fourth Proportional to 12,809, 19,213.66 and 4,601

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Solution

The fourth proportional to 12,809, 19,213.66 and 4,601 is: 6,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809 : 19,213.66 = 4,601 : x
  2. Step 2: Convert to fraction form
    12,809/19,213.66 = 4,601/x
  3. Step 3: Cross multiply
    12,809x = 19,213.66 × 4,601
  4. Step 4: Simplify right side
    12,809x = 88,402,049.66
  5. Step 5: Solve for x
    x = 88,402,049.66/12,809
  6. Step 6: Final answer
    x = 6,901.56

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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.