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Finding the Fourth Proportional to 13,573.84, 18,730.88 and 8,268

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Solution

The fourth proportional to 13,573.84, 18,730.88 and 8,268 is: 11,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.84 : 18,730.88 = 8,268 : x
  2. Step 2: Convert to fraction form
    13,573.84/18,730.88 = 8,268/x
  3. Step 3: Cross multiply
    13,573.84x = 18,730.88 × 8,268
  4. Step 4: Simplify right side
    13,573.84x = 154,866,915.84
  5. Step 5: Solve for x
    x = 154,866,915.84/13,573.84
  6. Step 6: Final answer
    x = 11,409.22

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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.