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Finding the Fourth Proportional to 8,221.63, 11,309.99 and 7,208.78

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Solution

The fourth proportional to 8,221.63, 11,309.99 and 7,208.78 is: 9,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.63 : 11,309.99 = 7,208.78 : x
  2. Step 2: Convert to fraction form
    8,221.63/11,309.99 = 7,208.78/x
  3. Step 3: Cross multiply
    8,221.63x = 11,309.99 × 7,208.78
  4. Step 4: Simplify right side
    8,221.63x = 81,531,137.12
  5. Step 5: Solve for x
    x = 81,531,137.12/8,221.63
  6. Step 6: Final answer
    x = 9,916.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.