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Finding the Fourth Proportional to 15,461, 23,160.78 and 7,645.96

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Solution

The fourth proportional to 15,461, 23,160.78 and 7,645.96 is: 11,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461 : 23,160.78 = 7,645.96 : x
  2. Step 2: Convert to fraction form
    15,461/23,160.78 = 7,645.96/x
  3. Step 3: Cross multiply
    15,461x = 23,160.78 × 7,645.96
  4. Step 4: Simplify right side
    15,461x = 177,086,397.45
  5. Step 5: Solve for x
    x = 177,086,397.45/15,461
  6. Step 6: Final answer
    x = 11,453.75

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