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Finding the Fourth Proportional to 2,188.86, 3,283.74 and 727.98

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Solution

The fourth proportional to 2,188.86, 3,283.74 and 727.98 is: 1,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.86 : 3,283.74 = 727.98 : x
  2. Step 2: Convert to fraction form
    2,188.86/3,283.74 = 727.98/x
  3. Step 3: Cross multiply
    2,188.86x = 3,283.74 × 727.98
  4. Step 4: Simplify right side
    2,188.86x = 2,390,497.05
  5. Step 5: Solve for x
    x = 2,390,497.05/2,188.86
  6. Step 6: Final answer
    x = 1,092.12

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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.