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Finding the Fourth Proportional to 8,221, 11,344.98 and 4,495

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Solution

The fourth proportional to 8,221, 11,344.98 and 4,495 is: 6,203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 11,344.98 = 4,495 : x
  2. Step 2: Convert to fraction form
    8,221/11,344.98 = 4,495/x
  3. Step 3: Cross multiply
    8,221x = 11,344.98 × 4,495
  4. Step 4: Simplify right side
    8,221x = 50,995,685.10
  5. Step 5: Solve for x
    x = 50,995,685.10/8,221
  6. Step 6: Final answer
    x = 6,203.10

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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.