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Finding the Fourth Proportional to 7,291, 10,936.50 and 1,819

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Solution

The fourth proportional to 7,291, 10,936.50 and 1,819 is: 2,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291 : 10,936.50 = 1,819 : x
  2. Step 2: Convert to fraction form
    7,291/10,936.50 = 1,819/x
  3. Step 3: Cross multiply
    7,291x = 10,936.50 × 1,819
  4. Step 4: Simplify right side
    7,291x = 19,893,493.50
  5. Step 5: Solve for x
    x = 19,893,493.50/7,291
  6. Step 6: Final answer
    x = 2,728.50

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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.