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Finding the Fourth Proportional to 51,274, 76,911 and 14,338

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Solution

The fourth proportional to 51,274, 76,911 and 14,338 is: 21,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,274 : 76,911 = 14,338 : x
  2. Step 2: Convert to fraction form
    51,274/76,911 = 14,338/x
  3. Step 3: Cross multiply
    51,274x = 76,911 × 14,338
  4. Step 4: Simplify right side
    51,274x = 1,102,749,918
  5. Step 5: Solve for x
    x = 1,102,749,918/51,274
  6. Step 6: Final answer
    x = 21,507

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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.