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Finding the Fourth Proportional to 20,682, 31,017.54 and 8,992.56

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Solution

The fourth proportional to 20,682, 31,017.54 and 8,992.56 is: 13,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 31,017.54 = 8,992.56 : x
  2. Step 2: Convert to fraction form
    20,682/31,017.54 = 8,992.56/x
  3. Step 3: Cross multiply
    20,682x = 31,017.54 × 8,992.56
  4. Step 4: Simplify right side
    20,682x = 278,927,089.50
  5. Step 5: Solve for x
    x = 278,927,089.50/20,682
  6. Step 6: Final answer
    x = 13,486.47

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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.