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Finding the Fourth Proportional to 1,978.16, 2,967.48 and 824

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Solution

The fourth proportional to 1,978.16, 2,967.48 and 824 is: 1,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.16 : 2,967.48 = 824 : x
  2. Step 2: Convert to fraction form
    1,978.16/2,967.48 = 824/x
  3. Step 3: Cross multiply
    1,978.16x = 2,967.48 × 824
  4. Step 4: Simplify right side
    1,978.16x = 2,445,203.52
  5. Step 5: Solve for x
    x = 2,445,203.52/1,978.16
  6. Step 6: Final answer
    x = 1,236.10

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