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Finding the Fourth Proportional to 34,230.36, 51,348.78 and 13,449

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Solution

The fourth proportional to 34,230.36, 51,348.78 and 13,449 is: 20,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230.36 : 51,348.78 = 13,449 : x
  2. Step 2: Convert to fraction form
    34,230.36/51,348.78 = 13,449/x
  3. Step 3: Cross multiply
    34,230.36x = 51,348.78 × 13,449
  4. Step 4: Simplify right side
    34,230.36x = 690,589,742.22
  5. Step 5: Solve for x
    x = 690,589,742.22/34,230.36
  6. Step 6: Final answer
    x = 20,174.77

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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.