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Finding the Fourth Proportional to 12,082.84, 16,664.70 and 9,983.32

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Solution

The fourth proportional to 12,082.84, 16,664.70 and 9,983.32 is: 13,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.84 : 16,664.70 = 9,983.32 : x
  2. Step 2: Convert to fraction form
    12,082.84/16,664.70 = 9,983.32/x
  3. Step 3: Cross multiply
    12,082.84x = 16,664.70 × 9,983.32
  4. Step 4: Simplify right side
    12,082.84x = 166,369,032.80
  5. Step 5: Solve for x
    x = 166,369,032.80/12,082.84
  6. Step 6: Final answer
    x = 13,769.03

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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.