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Finding the Fourth Proportional to 22,178, 30,605.66 and 12,242

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Solution

The fourth proportional to 22,178, 30,605.66 and 12,242 is: 16,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,178 : 30,605.66 = 12,242 : x
  2. Step 2: Convert to fraction form
    22,178/30,605.66 = 12,242/x
  3. Step 3: Cross multiply
    22,178x = 30,605.66 × 12,242
  4. Step 4: Simplify right side
    22,178x = 374,674,489.72
  5. Step 5: Solve for x
    x = 374,674,489.72/22,178
  6. Step 6: Final answer
    x = 16,893.97

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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.