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Finding the Fourth Proportional to 2,858.36, 3,943.50 and 1,678.56

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Solution

The fourth proportional to 2,858.36, 3,943.50 and 1,678.56 is: 2,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.36 : 3,943.50 = 1,678.56 : x
  2. Step 2: Convert to fraction form
    2,858.36/3,943.50 = 1,678.56/x
  3. Step 3: Cross multiply
    2,858.36x = 3,943.50 × 1,678.56
  4. Step 4: Simplify right side
    2,858.36x = 6,619,401.36
  5. Step 5: Solve for x
    x = 6,619,401.36/2,858.36
  6. Step 6: Final answer
    x = 2,315.80

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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.