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Finding the Fourth Proportional to 27,307, 40,922.41 and 20,638.02

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Solution

The fourth proportional to 27,307, 40,922.41 and 20,638.02 is: 30,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307 : 40,922.41 = 20,638.02 : x
  2. Step 2: Convert to fraction form
    27,307/40,922.41 = 20,638.02/x
  3. Step 3: Cross multiply
    27,307x = 40,922.41 × 20,638.02
  4. Step 4: Simplify right side
    27,307x = 844,557,516.03
  5. Step 5: Solve for x
    x = 844,557,516.03/27,307
  6. Step 6: Final answer
    x = 30,928.24

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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.