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Finding the Fourth Proportional to 31,162, 46,743 and 9,274

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Solution

The fourth proportional to 31,162, 46,743 and 9,274 is: 13,911

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162 : 46,743 = 9,274 : x
  2. Step 2: Convert to fraction form
    31,162/46,743 = 9,274/x
  3. Step 3: Cross multiply
    31,162x = 46,743 × 9,274
  4. Step 4: Simplify right side
    31,162x = 433,494,582
  5. Step 5: Solve for x
    x = 433,494,582/31,162
  6. Step 6: Final answer
    x = 13,911

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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.