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Finding the Fourth Proportional to 12,209, 18,313.66 and 3,888.99

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Solution

The fourth proportional to 12,209, 18,313.66 and 3,888.99 is: 5,833.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209 : 18,313.66 = 3,888.99 : x
  2. Step 2: Convert to fraction form
    12,209/18,313.66 = 3,888.99/x
  3. Step 3: Cross multiply
    12,209x = 18,313.66 × 3,888.99
  4. Step 4: Simplify right side
    12,209x = 71,221,640.60
  5. Step 5: Solve for x
    x = 71,221,640.60/12,209
  6. Step 6: Final answer
    x = 5,833.54

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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.