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Finding the Fourth Proportional to 21,756, 30,023.36 and 11,820

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Solution

The fourth proportional to 21,756, 30,023.36 and 11,820 is: 16,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,756 : 30,023.36 = 11,820 : x
  2. Step 2: Convert to fraction form
    21,756/30,023.36 = 11,820/x
  3. Step 3: Cross multiply
    21,756x = 30,023.36 × 11,820
  4. Step 4: Simplify right side
    21,756x = 354,876,115.20
  5. Step 5: Solve for x
    x = 354,876,115.20/21,756
  6. Step 6: Final answer
    x = 16,311.64

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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.