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Finding the Fourth Proportional to 10,122.75, 13,968.72 and 5,815.98

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Solution

The fourth proportional to 10,122.75, 13,968.72 and 5,815.98 is: 8,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.75 : 13,968.72 = 5,815.98 : x
  2. Step 2: Convert to fraction form
    10,122.75/13,968.72 = 5,815.98/x
  3. Step 3: Cross multiply
    10,122.75x = 13,968.72 × 5,815.98
  4. Step 4: Simplify right side
    10,122.75x = 81,241,796.15
  5. Step 5: Solve for x
    x = 81,241,796.15/10,122.75
  6. Step 6: Final answer
    x = 8,025.66

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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.