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Finding the Fourth Proportional to 11,745.42, 16,208.75 and 6,367.90

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Solution

The fourth proportional to 11,745.42, 16,208.75 and 6,367.90 is: 8,787.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.42 : 16,208.75 = 6,367.90 : x
  2. Step 2: Convert to fraction form
    11,745.42/16,208.75 = 6,367.90/x
  3. Step 3: Cross multiply
    11,745.42x = 16,208.75 × 6,367.90
  4. Step 4: Simplify right side
    11,745.42x = 103,215,699.13
  5. Step 5: Solve for x
    x = 103,215,699.13/11,745.42
  6. Step 6: Final answer
    x = 8,787.74

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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.