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Finding the Fourth Proportional to 2,175.28, 3,003.24 and 1,676.96

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Solution

The fourth proportional to 2,175.28, 3,003.24 and 1,676.96 is: 2,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.28 : 3,003.24 = 1,676.96 : x
  2. Step 2: Convert to fraction form
    2,175.28/3,003.24 = 1,676.96/x
  3. Step 3: Cross multiply
    2,175.28x = 3,003.24 × 1,676.96
  4. Step 4: Simplify right side
    2,175.28x = 5,036,313.35
  5. Step 5: Solve for x
    x = 5,036,313.35/2,175.28
  6. Step 6: Final answer
    x = 2,315.25

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