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Finding the Fourth Proportional to 51,176, 76,764 and 21,992

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Solution

The fourth proportional to 51,176, 76,764 and 21,992 is: 32,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,176 : 76,764 = 21,992 : x
  2. Step 2: Convert to fraction form
    51,176/76,764 = 21,992/x
  3. Step 3: Cross multiply
    51,176x = 76,764 × 21,992
  4. Step 4: Simplify right side
    51,176x = 1,688,193,888
  5. Step 5: Solve for x
    x = 1,688,193,888/51,176
  6. Step 6: Final answer
    x = 32,988

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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.