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Finding the Fourth Proportional to 6,813.45, 9,403.02 and 3,829.41

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Solution

The fourth proportional to 6,813.45, 9,403.02 and 3,829.41 is: 5,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.45 : 9,403.02 = 3,829.41 : x
  2. Step 2: Convert to fraction form
    6,813.45/9,403.02 = 3,829.41/x
  3. Step 3: Cross multiply
    6,813.45x = 9,403.02 × 3,829.41
  4. Step 4: Simplify right side
    6,813.45x = 36,008,018.82
  5. Step 5: Solve for x
    x = 36,008,018.82/6,813.45
  6. Step 6: Final answer
    x = 5,284.84

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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.