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Finding the Fourth Proportional to 7,978, 11,968.92 and 2,506

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Solution

The fourth proportional to 7,978, 11,968.92 and 2,506 is: 3,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978 : 11,968.92 = 2,506 : x
  2. Step 2: Convert to fraction form
    7,978/11,968.92 = 2,506/x
  3. Step 3: Cross multiply
    7,978x = 11,968.92 × 2,506
  4. Step 4: Simplify right side
    7,978x = 29,994,113.52
  5. Step 5: Solve for x
    x = 29,994,113.52/7,978
  6. Step 6: Final answer
    x = 3,759.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.