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Finding the Fourth Proportional to 26,978.40, 40,461.12 and 13,824

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Solution

The fourth proportional to 26,978.40, 40,461.12 and 13,824 is: 20,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.40 : 40,461.12 = 13,824 : x
  2. Step 2: Convert to fraction form
    26,978.40/40,461.12 = 13,824/x
  3. Step 3: Cross multiply
    26,978.40x = 40,461.12 × 13,824
  4. Step 4: Simplify right side
    26,978.40x = 559,334,522.88
  5. Step 5: Solve for x
    x = 559,334,522.88/26,978.40
  6. Step 6: Final answer
    x = 20,732.68

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Why These Related Problems?

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