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Finding the Fourth Proportional to 8,497, 12,745.50 and 2,341

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Solution

The fourth proportional to 8,497, 12,745.50 and 2,341 is: 3,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497 : 12,745.50 = 2,341 : x
  2. Step 2: Convert to fraction form
    8,497/12,745.50 = 2,341/x
  3. Step 3: Cross multiply
    8,497x = 12,745.50 × 2,341
  4. Step 4: Simplify right side
    8,497x = 29,837,215.50
  5. Step 5: Solve for x
    x = 29,837,215.50/8,497
  6. Step 6: Final answer
    x = 3,511.50

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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.