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Finding the Fourth Proportional to 27,638, 41,455.92 and 7,915.76

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Solution

The fourth proportional to 27,638, 41,455.92 and 7,915.76 is: 11,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638 : 41,455.92 = 7,915.76 : x
  2. Step 2: Convert to fraction form
    27,638/41,455.92 = 7,915.76/x
  3. Step 3: Cross multiply
    27,638x = 41,455.92 × 7,915.76
  4. Step 4: Simplify right side
    27,638x = 328,155,113.30
  5. Step 5: Solve for x
    x = 328,155,113.30/27,638
  6. Step 6: Final answer
    x = 11,873.33

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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.