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Finding the Fourth Proportional to 6,813.92, 9,403.21 and 3,829.75

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Solution

The fourth proportional to 6,813.92, 9,403.21 and 3,829.75 is: 5,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.92 : 9,403.21 = 3,829.75 : x
  2. Step 2: Convert to fraction form
    6,813.92/9,403.21 = 3,829.75/x
  3. Step 3: Cross multiply
    6,813.92x = 9,403.21 × 3,829.75
  4. Step 4: Simplify right side
    6,813.92x = 36,011,943.50
  5. Step 5: Solve for x
    x = 36,011,943.50/6,813.92
  6. Step 6: Final answer
    x = 5,285.06

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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.