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Finding the Fourth Proportional to 15,005.76, 22,509.24 and 5,644.80

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Solution

The fourth proportional to 15,005.76, 22,509.24 and 5,644.80 is: 8,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.76 : 22,509.24 = 5,644.80 : x
  2. Step 2: Convert to fraction form
    15,005.76/22,509.24 = 5,644.80/x
  3. Step 3: Cross multiply
    15,005.76x = 22,509.24 × 5,644.80
  4. Step 4: Simplify right side
    15,005.76x = 127,060,157.95
  5. Step 5: Solve for x
    x = 127,060,157.95/15,005.76
  6. Step 6: Final answer
    x = 8,467.43

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