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Finding the Fourth Proportional to 13,797.48, 19,038.96 and 7,827.60

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Solution

The fourth proportional to 13,797.48, 19,038.96 and 7,827.60 is: 10,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.48 : 19,038.96 = 7,827.60 : x
  2. Step 2: Convert to fraction form
    13,797.48/19,038.96 = 7,827.60/x
  3. Step 3: Cross multiply
    13,797.48x = 19,038.96 × 7,827.60
  4. Step 4: Simplify right side
    13,797.48x = 149,029,363.30
  5. Step 5: Solve for x
    x = 149,029,363.30/13,797.48
  6. Step 6: Final answer
    x = 10,801.20

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