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Finding the Fourth Proportional to 7,193, 10,789.50 and 1,998.92

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Solution

The fourth proportional to 7,193, 10,789.50 and 1,998.92 is: 2,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193 : 10,789.50 = 1,998.92 : x
  2. Step 2: Convert to fraction form
    7,193/10,789.50 = 1,998.92/x
  3. Step 3: Cross multiply
    7,193x = 10,789.50 × 1,998.92
  4. Step 4: Simplify right side
    7,193x = 21,567,347.34
  5. Step 5: Solve for x
    x = 21,567,347.34/7,193
  6. Step 6: Final answer
    x = 2,998.38

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1.5x scale

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.