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Finding the Fourth Proportional to 6,813.80, 9,404.70 and 4,163.44

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Solution

The fourth proportional to 6,813.80, 9,404.70 and 4,163.44 is: 5,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.80 : 9,404.70 = 4,163.44 : x
  2. Step 2: Convert to fraction form
    6,813.80/9,404.70 = 4,163.44/x
  3. Step 3: Cross multiply
    6,813.80x = 9,404.70 × 4,163.44
  4. Step 4: Simplify right side
    6,813.80x = 39,155,904.17
  5. Step 5: Solve for x
    x = 39,155,904.17/6,813.80
  6. Step 6: Final answer
    x = 5,746.56

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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.