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Finding the Fourth Proportional to 13,009, 19,514.34 and 5,216.80

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Solution

The fourth proportional to 13,009, 19,514.34 and 5,216.80 is: 7,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009 : 19,514.34 = 5,216.80 : x
  2. Step 2: Convert to fraction form
    13,009/19,514.34 = 5,216.80/x
  3. Step 3: Cross multiply
    13,009x = 19,514.34 × 5,216.80
  4. Step 4: Simplify right side
    13,009x = 101,802,408.91
  5. Step 5: Solve for x
    x = 101,802,408.91/13,009
  6. Step 6: Final answer
    x = 7,825.54

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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.