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Finding the Fourth Proportional to 8,627.22, 11,906 and 5,269.49

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Solution

The fourth proportional to 8,627.22, 11,906 and 5,269.49 is: 7,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.22 : 11,906 = 5,269.49 : x
  2. Step 2: Convert to fraction form
    8,627.22/11,906 = 5,269.49/x
  3. Step 3: Cross multiply
    8,627.22x = 11,906 × 5,269.49
  4. Step 4: Simplify right side
    8,627.22x = 62,738,547.94
  5. Step 5: Solve for x
    x = 62,738,547.94/8,627.22
  6. Step 6: Final answer
    x = 7,272.16

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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.