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Finding the Fourth Proportional to 2,795.57, 3,858 and 1,676.29

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Solution

The fourth proportional to 2,795.57, 3,858 and 1,676.29 is: 2,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.57 : 3,858 = 1,676.29 : x
  2. Step 2: Convert to fraction form
    2,795.57/3,858 = 1,676.29/x
  3. Step 3: Cross multiply
    2,795.57x = 3,858 × 1,676.29
  4. Step 4: Simplify right side
    2,795.57x = 6,467,126.82
  5. Step 5: Solve for x
    x = 6,467,126.82/2,795.57
  6. Step 6: Final answer
    x = 2,313.35

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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.