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Finding the Fourth Proportional to 8,971.81, 12,379.62 and 4,992.82

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Solution

The fourth proportional to 8,971.81, 12,379.62 and 4,992.82 is: 6,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.81 : 12,379.62 = 4,992.82 : x
  2. Step 2: Convert to fraction form
    8,971.81/12,379.62 = 4,992.82/x
  3. Step 3: Cross multiply
    8,971.81x = 12,379.62 × 4,992.82
  4. Step 4: Simplify right side
    8,971.81x = 61,809,214.33
  5. Step 5: Solve for x
    x = 61,809,214.33/8,971.81
  6. Step 6: Final answer
    x = 6,889.27

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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.