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Finding the Fourth Proportional to 2,018, 2,783.42 and 1,950.26

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Solution

The fourth proportional to 2,018, 2,783.42 and 1,950.26 is: 2,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018 : 2,783.42 = 1,950.26 : x
  2. Step 2: Convert to fraction form
    2,018/2,783.42 = 1,950.26/x
  3. Step 3: Cross multiply
    2,018x = 2,783.42 × 1,950.26
  4. Step 4: Simplify right side
    2,018x = 5,428,392.69
  5. Step 5: Solve for x
    x = 5,428,392.69/2,018
  6. Step 6: Final answer
    x = 2,689.99

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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.