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Finding the Fourth Proportional to 8,531, 11,772.90 and 4,805

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Solution

The fourth proportional to 8,531, 11,772.90 and 4,805 is: 6,630.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531 : 11,772.90 = 4,805 : x
  2. Step 2: Convert to fraction form
    8,531/11,772.90 = 4,805/x
  3. Step 3: Cross multiply
    8,531x = 11,772.90 × 4,805
  4. Step 4: Simplify right side
    8,531x = 56,568,784.50
  5. Step 5: Solve for x
    x = 56,568,784.50/8,531
  6. Step 6: Final answer
    x = 6,630.97

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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.