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Finding the Fourth Proportional to 11,913.88, 17,879.02 and 5,347.42

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Solution

The fourth proportional to 11,913.88, 17,879.02 and 5,347.42 is: 8,024.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.88 : 17,879.02 = 5,347.42 : x
  2. Step 2: Convert to fraction form
    11,913.88/17,879.02 = 5,347.42/x
  3. Step 3: Cross multiply
    11,913.88x = 17,879.02 × 5,347.42
  4. Step 4: Simplify right side
    11,913.88x = 95,606,629.13
  5. Step 5: Solve for x
    x = 95,606,629.13/11,913.88
  6. Step 6: Final answer
    x = 8,024.81

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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.