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Finding the Fourth Proportional to 12,107.93, 18,161.78 and 3,788.01

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Solution

The fourth proportional to 12,107.93, 18,161.78 and 3,788.01 is: 5,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.93 : 18,161.78 = 3,788.01 : x
  2. Step 2: Convert to fraction form
    12,107.93/18,161.78 = 3,788.01/x
  3. Step 3: Cross multiply
    12,107.93x = 18,161.78 × 3,788.01
  4. Step 4: Simplify right side
    12,107.93x = 68,796,985.32
  5. Step 5: Solve for x
    x = 68,796,985.32/12,107.93
  6. Step 6: Final answer
    x = 5,681.98

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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.