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Finding the Fourth Proportional to 12,210, 18,315.12 and 2,976

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Solution

The fourth proportional to 12,210, 18,315.12 and 2,976 is: 4,464.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210 : 18,315.12 = 2,976 : x
  2. Step 2: Convert to fraction form
    12,210/18,315.12 = 2,976/x
  3. Step 3: Cross multiply
    12,210x = 18,315.12 × 2,976
  4. Step 4: Simplify right side
    12,210x = 54,505,797.12
  5. Step 5: Solve for x
    x = 54,505,797.12/12,210
  6. Step 6: Final answer
    x = 4,464.03

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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.