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Finding the Fourth Proportional to 14,211.09, 19,611 and 8,243.28

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Solution

The fourth proportional to 14,211.09, 19,611 and 8,243.28 is: 11,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.09 : 19,611 = 8,243.28 : x
  2. Step 2: Convert to fraction form
    14,211.09/19,611 = 8,243.28/x
  3. Step 3: Cross multiply
    14,211.09x = 19,611 × 8,243.28
  4. Step 4: Simplify right side
    14,211.09x = 161,658,964.08
  5. Step 5: Solve for x
    x = 161,658,964.08/14,211.09
  6. Step 6: Final answer
    x = 11,375.55

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1.5x scale

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.