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Finding the Fourth Proportional to 22,618, 31,212.90 and 12,682

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Solution

The fourth proportional to 22,618, 31,212.90 and 12,682 is: 17,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,618 : 31,212.90 = 12,682 : x
  2. Step 2: Convert to fraction form
    22,618/31,212.90 = 12,682/x
  3. Step 3: Cross multiply
    22,618x = 31,212.90 × 12,682
  4. Step 4: Simplify right side
    22,618x = 395,841,997.80
  5. Step 5: Solve for x
    x = 395,841,997.80/22,618
  6. Step 6: Final answer
    x = 17,501.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.