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Finding the Fourth Proportional to 8,211, 12,316.50 and 2,055

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Solution

The fourth proportional to 8,211, 12,316.50 and 2,055 is: 3,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 12,316.50 = 2,055 : x
  2. Step 2: Convert to fraction form
    8,211/12,316.50 = 2,055/x
  3. Step 3: Cross multiply
    8,211x = 12,316.50 × 2,055
  4. Step 4: Simplify right side
    8,211x = 25,310,407.50
  5. Step 5: Solve for x
    x = 25,310,407.50/8,211
  6. Step 6: Final answer
    x = 3,082.50

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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.