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Finding the Fourth Proportional to 3,888, 5,365.76 and 2,209.95

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Solution

The fourth proportional to 3,888, 5,365.76 and 2,209.95 is: 3,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888 : 5,365.76 = 2,209.95 : x
  2. Step 2: Convert to fraction form
    3,888/5,365.76 = 2,209.95/x
  3. Step 3: Cross multiply
    3,888x = 5,365.76 × 2,209.95
  4. Step 4: Simplify right side
    3,888x = 11,858,050.26
  5. Step 5: Solve for x
    x = 11,858,050.26/3,888
  6. Step 6: Final answer
    x = 3,049.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.