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Finding the Fourth Proportional to 12,185, 18,280.38 and 3,977

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Solution

The fourth proportional to 12,185, 18,280.38 and 3,977 is: 5,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185 : 18,280.38 = 3,977 : x
  2. Step 2: Convert to fraction form
    12,185/18,280.38 = 3,977/x
  3. Step 3: Cross multiply
    12,185x = 18,280.38 × 3,977
  4. Step 4: Simplify right side
    12,185x = 72,701,071.26
  5. Step 5: Solve for x
    x = 72,701,071.26/12,185
  6. Step 6: Final answer
    x = 5,966.44

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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.