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Finding the Fourth Proportional to 6,813.80, 9,404.46 and 4,020.20

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Solution

The fourth proportional to 6,813.80, 9,404.46 and 4,020.20 is: 5,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.80 : 9,404.46 = 4,020.20 : x
  2. Step 2: Convert to fraction form
    6,813.80/9,404.46 = 4,020.20/x
  3. Step 3: Cross multiply
    6,813.80x = 9,404.46 × 4,020.20
  4. Step 4: Simplify right side
    6,813.80x = 37,807,810.09
  5. Step 5: Solve for x
    x = 37,807,810.09/6,813.80
  6. Step 6: Final answer
    x = 5,548.71

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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.