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Finding the Fourth Proportional to 6,819.40, 10,238.70 and 4,227.40

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Solution

The fourth proportional to 6,819.40, 10,238.70 and 4,227.40 is: 6,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.40 : 10,238.70 = 4,227.40 : x
  2. Step 2: Convert to fraction form
    6,819.40/10,238.70 = 4,227.40/x
  3. Step 3: Cross multiply
    6,819.40x = 10,238.70 × 4,227.40
  4. Step 4: Simplify right side
    6,819.40x = 43,283,080.38
  5. Step 5: Solve for x
    x = 43,283,080.38/6,819.40
  6. Step 6: Final answer
    x = 6,347.05

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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.