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Finding the Fourth Proportional to 12,022.55, 16,588.27 and 6,983.78

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Solution

The fourth proportional to 12,022.55, 16,588.27 and 6,983.78 is: 9,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.55 : 16,588.27 = 6,983.78 : x
  2. Step 2: Convert to fraction form
    12,022.55/16,588.27 = 6,983.78/x
  3. Step 3: Cross multiply
    12,022.55x = 16,588.27 × 6,983.78
  4. Step 4: Simplify right side
    12,022.55x = 115,848,828.26
  5. Step 5: Solve for x
    x = 115,848,828.26/12,022.55
  6. Step 6: Final answer
    x = 9,635.96

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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.