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Finding the Fourth Proportional to 6,811.76, 9,400.91 and 4,578.29

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Solution

The fourth proportional to 6,811.76, 9,400.91 and 4,578.29 is: 6,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.76 : 9,400.91 = 4,578.29 : x
  2. Step 2: Convert to fraction form
    6,811.76/9,400.91 = 4,578.29/x
  3. Step 3: Cross multiply
    6,811.76x = 9,400.91 × 4,578.29
  4. Step 4: Simplify right side
    6,811.76x = 43,040,092.24
  5. Step 5: Solve for x
    x = 43,040,092.24/6,811.76
  6. Step 6: Final answer
    x = 6,318.50

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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.