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Finding the Fourth Proportional to 8,971.67, 12,379.51 and 4,992.77

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Solution

The fourth proportional to 8,971.67, 12,379.51 and 4,992.77 is: 6,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.67 : 12,379.51 = 4,992.77 : x
  2. Step 2: Convert to fraction form
    8,971.67/12,379.51 = 4,992.77/x
  3. Step 3: Cross multiply
    8,971.67x = 12,379.51 × 4,992.77
  4. Step 4: Simplify right side
    8,971.67x = 61,808,083.33
  5. Step 5: Solve for x
    x = 61,808,083.33/8,971.67
  6. Step 6: Final answer
    x = 6,889.25

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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.