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Finding the Fourth Proportional to 3,196.72, 4,822.09 and 3,028.66

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Solution

The fourth proportional to 3,196.72, 4,822.09 and 3,028.66 is: 4,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.72 : 4,822.09 = 3,028.66 : x
  2. Step 2: Convert to fraction form
    3,196.72/4,822.09 = 3,028.66/x
  3. Step 3: Cross multiply
    3,196.72x = 4,822.09 × 3,028.66
  4. Step 4: Simplify right side
    3,196.72x = 14,604,471.10
  5. Step 5: Solve for x
    x = 14,604,471.10/3,196.72
  6. Step 6: Final answer
    x = 4,568.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.