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Finding the Fourth Proportional to 34,496.69, 51,745.37 and 18,905.81

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Solution

The fourth proportional to 34,496.69, 51,745.37 and 18,905.81 is: 28,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,496.69 : 51,745.37 = 18,905.81 : x
  2. Step 2: Convert to fraction form
    34,496.69/51,745.37 = 18,905.81/x
  3. Step 3: Cross multiply
    34,496.69x = 51,745.37 × 18,905.81
  4. Step 4: Simplify right side
    34,496.69x = 978,287,780.34
  5. Step 5: Solve for x
    x = 978,287,780.34/34,496.69
  6. Step 6: Final answer
    x = 28,358.89

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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.