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Finding the Fourth Proportional to 6,192, 9,288 and 1,809.50

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Solution

The fourth proportional to 6,192, 9,288 and 1,809.50 is: 2,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192 : 9,288 = 1,809.50 : x
  2. Step 2: Convert to fraction form
    6,192/9,288 = 1,809.50/x
  3. Step 3: Cross multiply
    6,192x = 9,288 × 1,809.50
  4. Step 4: Simplify right side
    6,192x = 16,806,589.56
  5. Step 5: Solve for x
    x = 16,806,589.56/6,192
  6. Step 6: Final answer
    x = 2,714.24

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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.