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Finding the Fourth Proportional to 20,772, 31,158 and 8,460

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Solution

The fourth proportional to 20,772, 31,158 and 8,460 is: 12,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772 : 31,158 = 8,460 : x
  2. Step 2: Convert to fraction form
    20,772/31,158 = 8,460/x
  3. Step 3: Cross multiply
    20,772x = 31,158 × 8,460
  4. Step 4: Simplify right side
    20,772x = 263,596,680
  5. Step 5: Solve for x
    x = 263,596,680/20,772
  6. Step 6: Final answer
    x = 12,690

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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.