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Finding the Fourth Proportional to 6,819.69, 9,404.92 and 4,427.19

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Solution

The fourth proportional to 6,819.69, 9,404.92 and 4,427.19 is: 6,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.69 : 9,404.92 = 4,427.19 : x
  2. Step 2: Convert to fraction form
    6,819.69/9,404.92 = 4,427.19/x
  3. Step 3: Cross multiply
    6,819.69x = 9,404.92 × 4,427.19
  4. Step 4: Simplify right side
    6,819.69x = 41,637,367.77
  5. Step 5: Solve for x
    x = 41,637,367.77/6,819.69
  6. Step 6: Final answer
    x = 6,105.46

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1.5x scale

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.