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Finding the Fourth Proportional to 8,891, 13,336.74 and 2,735

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Solution

The fourth proportional to 8,891, 13,336.74 and 2,735 is: 4,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891 : 13,336.74 = 2,735 : x
  2. Step 2: Convert to fraction form
    8,891/13,336.74 = 2,735/x
  3. Step 3: Cross multiply
    8,891x = 13,336.74 × 2,735
  4. Step 4: Simplify right side
    8,891x = 36,475,983.90
  5. Step 5: Solve for x
    x = 36,475,983.90/8,891
  6. Step 6: Final answer
    x = 4,102.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.