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Finding the Fourth Proportional to 12,477.78, 18,716.70 and 3,243.78

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Solution

The fourth proportional to 12,477.78, 18,716.70 and 3,243.78 is: 4,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.78 : 18,716.70 = 3,243.78 : x
  2. Step 2: Convert to fraction form
    12,477.78/18,716.70 = 3,243.78/x
  3. Step 3: Cross multiply
    12,477.78x = 18,716.70 × 3,243.78
  4. Step 4: Simplify right side
    12,477.78x = 60,712,857.13
  5. Step 5: Solve for x
    x = 60,712,857.13/12,477.78
  6. Step 6: Final answer
    x = 4,865.68

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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.