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Finding the Fourth Proportional to 8,895.82, 12,267 and 7,641

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Solution

The fourth proportional to 8,895.82, 12,267 and 7,641 is: 10,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,895.82 : 12,267 = 7,641 : x
  2. Step 2: Convert to fraction form
    8,895.82/12,267 = 7,641/x
  3. Step 3: Cross multiply
    8,895.82x = 12,267 × 7,641
  4. Step 4: Simplify right side
    8,895.82x = 93,732,147
  5. Step 5: Solve for x
    x = 93,732,147/8,895.82
  6. Step 6: Final answer
    x = 10,536.65

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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.