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Finding the Fourth Proportional to 10,506.51, 15,731.96 and 6,340.95

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Solution

The fourth proportional to 10,506.51, 15,731.96 and 6,340.95 is: 9,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.51 : 15,731.96 = 6,340.95 : x
  2. Step 2: Convert to fraction form
    10,506.51/15,731.96 = 6,340.95/x
  3. Step 3: Cross multiply
    10,506.51x = 15,731.96 × 6,340.95
  4. Step 4: Simplify right side
    10,506.51x = 99,755,540.06
  5. Step 5: Solve for x
    x = 99,755,540.06/10,506.51
  6. Step 6: Final answer
    x = 9,494.64

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