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Finding the Fourth Proportional to 8,013, 12,019.50 and 2,818.28

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Solution

The fourth proportional to 8,013, 12,019.50 and 2,818.28 is: 4,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013 : 12,019.50 = 2,818.28 : x
  2. Step 2: Convert to fraction form
    8,013/12,019.50 = 2,818.28/x
  3. Step 3: Cross multiply
    8,013x = 12,019.50 × 2,818.28
  4. Step 4: Simplify right side
    8,013x = 33,874,316.46
  5. Step 5: Solve for x
    x = 33,874,316.46/8,013
  6. Step 6: Final answer
    x = 4,227.42

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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.