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Finding the Fourth Proportional to 11,131, 16,696.50 and 4,975

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Solution

The fourth proportional to 11,131, 16,696.50 and 4,975 is: 7,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131 : 16,696.50 = 4,975 : x
  2. Step 2: Convert to fraction form
    11,131/16,696.50 = 4,975/x
  3. Step 3: Cross multiply
    11,131x = 16,696.50 × 4,975
  4. Step 4: Simplify right side
    11,131x = 83,065,087.50
  5. Step 5: Solve for x
    x = 83,065,087.50/11,131
  6. Step 6: Final answer
    x = 7,462.50

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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.