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Finding the Fourth Proportional to 20,994, 31,495.32 and 8,682

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Solution

The fourth proportional to 20,994, 31,495.32 and 8,682 is: 13,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994 : 31,495.32 = 8,682 : x
  2. Step 2: Convert to fraction form
    20,994/31,495.32 = 8,682/x
  3. Step 3: Cross multiply
    20,994x = 31,495.32 × 8,682
  4. Step 4: Simplify right side
    20,994x = 273,442,368.24
  5. Step 5: Solve for x
    x = 273,442,368.24/20,994
  6. Step 6: Final answer
    x = 13,024.79

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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.