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Finding the Fourth Proportional to 3,816.06, 5,718.57 and 1,866.06

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Solution

The fourth proportional to 3,816.06, 5,718.57 and 1,866.06 is: 2,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.06 : 5,718.57 = 1,866.06 : x
  2. Step 2: Convert to fraction form
    3,816.06/5,718.57 = 1,866.06/x
  3. Step 3: Cross multiply
    3,816.06x = 5,718.57 × 1,866.06
  4. Step 4: Simplify right side
    3,816.06x = 10,671,194.73
  5. Step 5: Solve for x
    x = 10,671,194.73/3,816.06
  6. Step 6: Final answer
    x = 2,796.39

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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.