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Finding the Fourth Proportional to 3,674.50, 5,071.13 and 2,018.82

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Solution

The fourth proportional to 3,674.50, 5,071.13 and 2,018.82 is: 2,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.50 : 5,071.13 = 2,018.82 : x
  2. Step 2: Convert to fraction form
    3,674.50/5,071.13 = 2,018.82/x
  3. Step 3: Cross multiply
    3,674.50x = 5,071.13 × 2,018.82
  4. Step 4: Simplify right side
    3,674.50x = 10,237,698.67
  5. Step 5: Solve for x
    x = 10,237,698.67/3,674.50
  6. Step 6: Final answer
    x = 2,786.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.