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Finding the Fourth Proportional to 31,122, 46,683 and 9,234

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Solution

The fourth proportional to 31,122, 46,683 and 9,234 is: 13,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,122 : 46,683 = 9,234 : x
  2. Step 2: Convert to fraction form
    31,122/46,683 = 9,234/x
  3. Step 3: Cross multiply
    31,122x = 46,683 × 9,234
  4. Step 4: Simplify right side
    31,122x = 431,070,822
  5. Step 5: Solve for x
    x = 431,070,822/31,122
  6. Step 6: Final answer
    x = 13,851

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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.