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Finding the Fourth Proportional to 12,057.96, 16,639.48 and 7,022.32

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Solution

The fourth proportional to 12,057.96, 16,639.48 and 7,022.32 is: 9,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.96 : 16,639.48 = 7,022.32 : x
  2. Step 2: Convert to fraction form
    12,057.96/16,639.48 = 7,022.32/x
  3. Step 3: Cross multiply
    12,057.96x = 16,639.48 × 7,022.32
  4. Step 4: Simplify right side
    12,057.96x = 116,847,753.19
  5. Step 5: Solve for x
    x = 116,847,753.19/12,057.96
  6. Step 6: Final answer
    x = 9,690.51

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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.