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Finding the Fourth Proportional to 3,816.84, 5,728 and 2,176.59

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Solution

The fourth proportional to 3,816.84, 5,728 and 2,176.59 is: 3,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.84 : 5,728 = 2,176.59 : x
  2. Step 2: Convert to fraction form
    3,816.84/5,728 = 2,176.59/x
  3. Step 3: Cross multiply
    3,816.84x = 5,728 × 2,176.59
  4. Step 4: Simplify right side
    3,816.84x = 12,467,507.52
  5. Step 5: Solve for x
    x = 12,467,507.52/3,816.84
  6. Step 6: Final answer
    x = 3,266.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.