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Finding the Fourth Proportional to 14,531.76, 20,046.96 and 9,817.68

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Solution

The fourth proportional to 14,531.76, 20,046.96 and 9,817.68 is: 13,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.76 : 20,046.96 = 9,817.68 : x
  2. Step 2: Convert to fraction form
    14,531.76/20,046.96 = 9,817.68/x
  3. Step 3: Cross multiply
    14,531.76x = 20,046.96 × 9,817.68
  4. Step 4: Simplify right side
    14,531.76x = 196,814,638.25
  5. Step 5: Solve for x
    x = 196,814,638.25/14,531.76
  6. Step 6: Final answer
    x = 13,543.76

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