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Finding the Fourth Proportional to 2,978, 4,462.68 and 1,677.68

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Solution

The fourth proportional to 2,978, 4,462.68 and 1,677.68 is: 2,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,462.68 = 1,677.68 : x
  2. Step 2: Convert to fraction form
    2,978/4,462.68 = 1,677.68/x
  3. Step 3: Cross multiply
    2,978x = 4,462.68 × 1,677.68
  4. Step 4: Simplify right side
    2,978x = 7,486,948.98
  5. Step 5: Solve for x
    x = 7,486,948.98/2,978
  6. Step 6: Final answer
    x = 2,514.09

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