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Finding the Fourth Proportional to 7,972.50, 11,960.67 and 2,500.50

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Solution

The fourth proportional to 7,972.50, 11,960.67 and 2,500.50 is: 3,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.50 : 11,960.67 = 2,500.50 : x
  2. Step 2: Convert to fraction form
    7,972.50/11,960.67 = 2,500.50/x
  3. Step 3: Cross multiply
    7,972.50x = 11,960.67 × 2,500.50
  4. Step 4: Simplify right side
    7,972.50x = 29,907,655.34
  5. Step 5: Solve for x
    x = 29,907,655.34/7,972.50
  6. Step 6: Final answer
    x = 3,751.35

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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.