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Finding the Fourth Proportional to 12,662.49, 18,994.05 and 3,897.48

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Solution

The fourth proportional to 12,662.49, 18,994.05 and 3,897.48 is: 5,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.49 : 18,994.05 = 3,897.48 : x
  2. Step 2: Convert to fraction form
    12,662.49/18,994.05 = 3,897.48/x
  3. Step 3: Cross multiply
    12,662.49x = 18,994.05 × 3,897.48
  4. Step 4: Simplify right side
    12,662.49x = 74,028,929.99
  5. Step 5: Solve for x
    x = 74,028,929.99/12,662.49
  6. Step 6: Final answer
    x = 5,846.32

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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.