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Finding the Fourth Proportional to 30,784.86, 42,454.71 and 22,846.86

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Solution

The fourth proportional to 30,784.86, 42,454.71 and 22,846.86 is: 31,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,784.86 : 42,454.71 = 22,846.86 : x
  2. Step 2: Convert to fraction form
    30,784.86/42,454.71 = 22,846.86/x
  3. Step 3: Cross multiply
    30,784.86x = 42,454.71 × 22,846.86
  4. Step 4: Simplify right side
    30,784.86x = 969,956,815.71
  5. Step 5: Solve for x
    x = 969,956,815.71/30,784.86
  6. Step 6: Final answer
    x = 31,507.59

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