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Finding the Fourth Proportional to 11,877.69, 17,816.39 and 6,978.41

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Solution

The fourth proportional to 11,877.69, 17,816.39 and 6,978.41 is: 10,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.69 : 17,816.39 = 6,978.41 : x
  2. Step 2: Convert to fraction form
    11,877.69/17,816.39 = 6,978.41/x
  3. Step 3: Cross multiply
    11,877.69x = 17,816.39 × 6,978.41
  4. Step 4: Simplify right side
    11,877.69x = 124,330,074.14
  5. Step 5: Solve for x
    x = 124,330,074.14/11,877.69
  6. Step 6: Final answer
    x = 10,467.53

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1.5x scale

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.