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Finding the Fourth Proportional to 16,043.71, 22,140.66 and 8,969.98

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Solution

The fourth proportional to 16,043.71, 22,140.66 and 8,969.98 is: 12,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.71 : 22,140.66 = 8,969.98 : x
  2. Step 2: Convert to fraction form
    16,043.71/22,140.66 = 8,969.98/x
  3. Step 3: Cross multiply
    16,043.71x = 22,140.66 × 8,969.98
  4. Step 4: Simplify right side
    16,043.71x = 198,601,277.39
  5. Step 5: Solve for x
    x = 198,601,277.39/16,043.71
  6. Step 6: Final answer
    x = 12,378.76

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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.