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Finding the Fourth Proportional to 8,015.34, 12,021.80 and 2,820

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Solution

The fourth proportional to 8,015.34, 12,021.80 and 2,820 is: 4,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.34 : 12,021.80 = 2,820 : x
  2. Step 2: Convert to fraction form
    8,015.34/12,021.80 = 2,820/x
  3. Step 3: Cross multiply
    8,015.34x = 12,021.80 × 2,820
  4. Step 4: Simplify right side
    8,015.34x = 33,901,461.90
  5. Step 5: Solve for x
    x = 33,901,461.90/8,015.34
  6. Step 6: Final answer
    x = 4,229.57

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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.