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Finding the Fourth Proportional to 8,269, 11,411.22 and 4,543

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Solution

The fourth proportional to 8,269, 11,411.22 and 4,543 is: 6,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269 : 11,411.22 = 4,543 : x
  2. Step 2: Convert to fraction form
    8,269/11,411.22 = 4,543/x
  3. Step 3: Cross multiply
    8,269x = 11,411.22 × 4,543
  4. Step 4: Simplify right side
    8,269x = 51,841,172.46
  5. Step 5: Solve for x
    x = 51,841,172.46/8,269
  6. Step 6: Final answer
    x = 6,269.34

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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.