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Finding the Fourth Proportional to 16,921.50, 25,383.90 and 4,609.50

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Solution

The fourth proportional to 16,921.50, 25,383.90 and 4,609.50 is: 6,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,921.50 : 25,383.90 = 4,609.50 : x
  2. Step 2: Convert to fraction form
    16,921.50/25,383.90 = 4,609.50/x
  3. Step 3: Cross multiply
    16,921.50x = 25,383.90 × 4,609.50
  4. Step 4: Simplify right side
    16,921.50x = 117,007,087.05
  5. Step 5: Solve for x
    x = 117,007,087.05/16,921.50
  6. Step 6: Final answer
    x = 6,914.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.