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Finding the Fourth Proportional to 21,827.26, 30,120.01 and 12,394

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Solution

The fourth proportional to 21,827.26, 30,120.01 and 12,394 is: 17,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.26 : 30,120.01 = 12,394 : x
  2. Step 2: Convert to fraction form
    21,827.26/30,120.01 = 12,394/x
  3. Step 3: Cross multiply
    21,827.26x = 30,120.01 × 12,394
  4. Step 4: Simplify right side
    21,827.26x = 373,307,403.94
  5. Step 5: Solve for x
    x = 373,307,403.94/21,827.26
  6. Step 6: Final answer
    x = 17,102.81

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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.