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Finding the Fourth Proportional to 13,284, 18,333 and 7,695

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Solution

The fourth proportional to 13,284, 18,333 and 7,695 is: 10,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 18,333 = 7,695 : x
  2. Step 2: Convert to fraction form
    13,284/18,333 = 7,695/x
  3. Step 3: Cross multiply
    13,284x = 18,333 × 7,695
  4. Step 4: Simplify right side
    13,284x = 141,072,435
  5. Step 5: Solve for x
    x = 141,072,435/13,284
  6. Step 6: Final answer
    x = 10,619.73

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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.