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Finding the Fourth Proportional to 2,173.74, 3,234.46 and 2,166.45

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Solution

The fourth proportional to 2,173.74, 3,234.46 and 2,166.45 is: 3,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.74 : 3,234.46 = 2,166.45 : x
  2. Step 2: Convert to fraction form
    2,173.74/3,234.46 = 2,166.45/x
  3. Step 3: Cross multiply
    2,173.74x = 3,234.46 × 2,166.45
  4. Step 4: Simplify right side
    2,173.74x = 7,007,276.29
  5. Step 5: Solve for x
    x = 7,007,276.29/2,173.74
  6. Step 6: Final answer
    x = 3,223.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.