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Finding the Fourth Proportional to 2,188.37, 3,294.37 and 1,994.61

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Solution

The fourth proportional to 2,188.37, 3,294.37 and 1,994.61 is: 3,002.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.37 : 3,294.37 = 1,994.61 : x
  2. Step 2: Convert to fraction form
    2,188.37/3,294.37 = 1,994.61/x
  3. Step 3: Cross multiply
    2,188.37x = 3,294.37 × 1,994.61
  4. Step 4: Simplify right side
    2,188.37x = 6,570,983.35
  5. Step 5: Solve for x
    x = 6,570,983.35/2,188.37
  6. Step 6: Final answer
    x = 3,002.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.