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Finding the Fourth Proportional to 8,176.95, 11,284.25 and 4,640.22

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Solution

The fourth proportional to 8,176.95, 11,284.25 and 4,640.22 is: 6,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.95 : 11,284.25 = 4,640.22 : x
  2. Step 2: Convert to fraction form
    8,176.95/11,284.25 = 4,640.22/x
  3. Step 3: Cross multiply
    8,176.95x = 11,284.25 × 4,640.22
  4. Step 4: Simplify right side
    8,176.95x = 52,361,379.33
  5. Step 5: Solve for x
    x = 52,361,379.33/8,176.95
  6. Step 6: Final answer
    x = 6,403.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.