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Finding the Fourth Proportional to 14,571.31, 20,116.70 and 9,617.71

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Solution

The fourth proportional to 14,571.31, 20,116.70 and 9,617.71 is: 13,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.31 : 20,116.70 = 9,617.71 : x
  2. Step 2: Convert to fraction form
    14,571.31/20,116.70 = 9,617.71/x
  3. Step 3: Cross multiply
    14,571.31x = 20,116.70 × 9,617.71
  4. Step 4: Simplify right side
    14,571.31x = 193,476,524.44
  5. Step 5: Solve for x
    x = 193,476,524.44/14,571.31
  6. Step 6: Final answer
    x = 13,277.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.