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Finding the Fourth Proportional to 11,832.31, 16,328.24 and 6,454.90

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Solution

The fourth proportional to 11,832.31, 16,328.24 and 6,454.90 is: 8,907.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.31 : 16,328.24 = 6,454.90 : x
  2. Step 2: Convert to fraction form
    11,832.31/16,328.24 = 6,454.90/x
  3. Step 3: Cross multiply
    11,832.31x = 16,328.24 × 6,454.90
  4. Step 4: Simplify right side
    11,832.31x = 105,397,083.28
  5. Step 5: Solve for x
    x = 105,397,083.28/11,832.31
  6. Step 6: Final answer
    x = 8,907.57

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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.