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Finding the Fourth Proportional to 11,716, 16,171.92 and 8,413.60

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Solution

The fourth proportional to 11,716, 16,171.92 and 8,413.60 is: 11,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716 : 16,171.92 = 8,413.60 : x
  2. Step 2: Convert to fraction form
    11,716/16,171.92 = 8,413.60/x
  3. Step 3: Cross multiply
    11,716x = 16,171.92 × 8,413.60
  4. Step 4: Simplify right side
    11,716x = 136,064,066.11
  5. Step 5: Solve for x
    x = 136,064,066.11/11,716
  6. Step 6: Final answer
    x = 11,613.53

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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.