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Finding the Fourth Proportional to 7,679, 11,516.05 and 2,997.87

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Solution

The fourth proportional to 7,679, 11,516.05 and 2,997.87 is: 4,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679 : 11,516.05 = 2,997.87 : x
  2. Step 2: Convert to fraction form
    7,679/11,516.05 = 2,997.87/x
  3. Step 3: Cross multiply
    7,679x = 11,516.05 × 2,997.87
  4. Step 4: Simplify right side
    7,679x = 34,523,620.81
  5. Step 5: Solve for x
    x = 34,523,620.81/7,679
  6. Step 6: Final answer
    x = 4,495.85

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Why These Related Problems?

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