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Finding the Fourth Proportional to 13,380, 20,074.20 and 5,990.76

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Solution

The fourth proportional to 13,380, 20,074.20 and 5,990.76 is: 8,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380 : 20,074.20 = 5,990.76 : x
  2. Step 2: Convert to fraction form
    13,380/20,074.20 = 5,990.76/x
  3. Step 3: Cross multiply
    13,380x = 20,074.20 × 5,990.76
  4. Step 4: Simplify right side
    13,380x = 120,259,714.39
  5. Step 5: Solve for x
    x = 120,259,714.39/13,380
  6. Step 6: Final answer
    x = 8,988.02

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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.