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Finding the Fourth Proportional to 8,229, 11,356.05 and 4,503

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Solution

The fourth proportional to 8,229, 11,356.05 and 4,503 is: 6,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229 : 11,356.05 = 4,503 : x
  2. Step 2: Convert to fraction form
    8,229/11,356.05 = 4,503/x
  3. Step 3: Cross multiply
    8,229x = 11,356.05 × 4,503
  4. Step 4: Simplify right side
    8,229x = 51,136,293.15
  5. Step 5: Solve for x
    x = 51,136,293.15/8,229
  6. Step 6: Final answer
    x = 6,214.16

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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.