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Finding the Fourth Proportional to 14,451.57, 19,944.78 and 8,164.35

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Solution

The fourth proportional to 14,451.57, 19,944.78 and 8,164.35 is: 11,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.57 : 19,944.78 = 8,164.35 : x
  2. Step 2: Convert to fraction form
    14,451.57/19,944.78 = 8,164.35/x
  3. Step 3: Cross multiply
    14,451.57x = 19,944.78 × 8,164.35
  4. Step 4: Simplify right side
    14,451.57x = 162,836,164.59
  5. Step 5: Solve for x
    x = 162,836,164.59/14,451.57
  6. Step 6: Final answer
    x = 11,267.71

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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.