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Finding the Fourth Proportional to 3,932.96, 5,427.47 and 2,254.43

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Solution

The fourth proportional to 3,932.96, 5,427.47 and 2,254.43 is: 3,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.96 : 5,427.47 = 2,254.43 : x
  2. Step 2: Convert to fraction form
    3,932.96/5,427.47 = 2,254.43/x
  3. Step 3: Cross multiply
    3,932.96x = 5,427.47 × 2,254.43
  4. Step 4: Simplify right side
    3,932.96x = 12,235,870.40
  5. Step 5: Solve for x
    x = 12,235,870.40/3,932.96
  6. Step 6: Final answer
    x = 3,111.11

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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.