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Finding the Fourth Proportional to 12,174.25, 18,261.39 and 2,940.25

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Solution

The fourth proportional to 12,174.25, 18,261.39 and 2,940.25 is: 4,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.25 : 18,261.39 = 2,940.25 : x
  2. Step 2: Convert to fraction form
    12,174.25/18,261.39 = 2,940.25/x
  3. Step 3: Cross multiply
    12,174.25x = 18,261.39 × 2,940.25
  4. Step 4: Simplify right side
    12,174.25x = 53,693,051.95
  5. Step 5: Solve for x
    x = 53,693,051.95/12,174.25
  6. Step 6: Final answer
    x = 4,410.38

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1.5x scale

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.