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Finding the Fourth Proportional to 12,463.78, 17,199.37 and 7,747.98

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Solution

The fourth proportional to 12,463.78, 17,199.37 and 7,747.98 is: 10,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.78 : 17,199.37 = 7,747.98 : x
  2. Step 2: Convert to fraction form
    12,463.78/17,199.37 = 7,747.98/x
  3. Step 3: Cross multiply
    12,463.78x = 17,199.37 × 7,747.98
  4. Step 4: Simplify right side
    12,463.78x = 133,260,374.77
  5. Step 5: Solve for x
    x = 133,260,374.77/12,463.78
  6. Step 6: Final answer
    x = 10,691.81

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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.