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Finding the Fourth Proportional to 8,677.30, 13,014 and 3,992.82

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Solution

The fourth proportional to 8,677.30, 13,014 and 3,992.82 is: 5,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.30 : 13,014 = 3,992.82 : x
  2. Step 2: Convert to fraction form
    8,677.30/13,014 = 3,992.82/x
  3. Step 3: Cross multiply
    8,677.30x = 13,014 × 3,992.82
  4. Step 4: Simplify right side
    8,677.30x = 51,962,559.48
  5. Step 5: Solve for x
    x = 51,962,559.48/8,677.30
  6. Step 6: Final answer
    x = 5,988.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.