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Finding the Fourth Proportional to 20,269.68, 27,978.84 and 11,886

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Solution

The fourth proportional to 20,269.68, 27,978.84 and 11,886 is: 16,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,269.68 : 27,978.84 = 11,886 : x
  2. Step 2: Convert to fraction form
    20,269.68/27,978.84 = 11,886/x
  3. Step 3: Cross multiply
    20,269.68x = 27,978.84 × 11,886
  4. Step 4: Simplify right side
    20,269.68x = 332,556,492.24
  5. Step 5: Solve for x
    x = 332,556,492.24/20,269.68
  6. Step 6: Final answer
    x = 16,406.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.