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Finding the Fourth Proportional to 14,409, 21,619.98 and 8,253

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Solution

The fourth proportional to 14,409, 21,619.98 and 8,253 is: 12,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409 : 21,619.98 = 8,253 : x
  2. Step 2: Convert to fraction form
    14,409/21,619.98 = 8,253/x
  3. Step 3: Cross multiply
    14,409x = 21,619.98 × 8,253
  4. Step 4: Simplify right side
    14,409x = 178,429,694.94
  5. Step 5: Solve for x
    x = 178,429,694.94/14,409
  6. Step 6: Final answer
    x = 12,383.21

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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.