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Finding the Fourth Proportional to 2,745.34, 4,118.31 and 896.51

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Solution

The fourth proportional to 2,745.34, 4,118.31 and 896.51 is: 1,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.34 : 4,118.31 = 896.51 : x
  2. Step 2: Convert to fraction form
    2,745.34/4,118.31 = 896.51/x
  3. Step 3: Cross multiply
    2,745.34x = 4,118.31 × 896.51
  4. Step 4: Simplify right side
    2,745.34x = 3,692,116.39
  5. Step 5: Solve for x
    x = 3,692,116.39/2,745.34
  6. Step 6: Final answer
    x = 1,344.87

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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.