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Finding the Fourth Proportional to 16,447.16, 22,695.38 and 9,731.48

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Solution

The fourth proportional to 16,447.16, 22,695.38 and 9,731.48 is: 13,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.16 : 22,695.38 = 9,731.48 : x
  2. Step 2: Convert to fraction form
    16,447.16/22,695.38 = 9,731.48/x
  3. Step 3: Cross multiply
    16,447.16x = 22,695.38 × 9,731.48
  4. Step 4: Simplify right side
    16,447.16x = 220,859,474.43
  5. Step 5: Solve for x
    x = 220,859,474.43/16,447.16
  6. Step 6: Final answer
    x = 13,428.43

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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.