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Finding the Fourth Proportional to 16,728.64, 23,082.90 and 9,653.71

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Solution

The fourth proportional to 16,728.64, 23,082.90 and 9,653.71 is: 13,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.64 : 23,082.90 = 9,653.71 : x
  2. Step 2: Convert to fraction form
    16,728.64/23,082.90 = 9,653.71/x
  3. Step 3: Cross multiply
    16,728.64x = 23,082.90 × 9,653.71
  4. Step 4: Simplify right side
    16,728.64x = 222,835,622.56
  5. Step 5: Solve for x
    x = 222,835,622.56/16,728.64
  6. Step 6: Final answer
    x = 13,320.61

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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.