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Finding the Fourth Proportional to 7,679, 11,518.50 and 2,207

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Solution

The fourth proportional to 7,679, 11,518.50 and 2,207 is: 3,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679 : 11,518.50 = 2,207 : x
  2. Step 2: Convert to fraction form
    7,679/11,518.50 = 2,207/x
  3. Step 3: Cross multiply
    7,679x = 11,518.50 × 2,207
  4. Step 4: Simplify right side
    7,679x = 25,421,329.50
  5. Step 5: Solve for x
    x = 25,421,329.50/7,679
  6. Step 6: Final answer
    x = 3,310.50

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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.