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Finding the Fourth Proportional to 8,074.10, 11,142.52 and 4,887.98

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Solution

The fourth proportional to 8,074.10, 11,142.52 and 4,887.98 is: 6,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.10 : 11,142.52 = 4,887.98 : x
  2. Step 2: Convert to fraction form
    8,074.10/11,142.52 = 4,887.98/x
  3. Step 3: Cross multiply
    8,074.10x = 11,142.52 × 4,887.98
  4. Step 4: Simplify right side
    8,074.10x = 54,464,414.91
  5. Step 5: Solve for x
    x = 54,464,414.91/8,074.10
  6. Step 6: Final answer
    x = 6,745.57

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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.