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Finding the Fourth Proportional to 27,938.16, 41,907.60 and 8,217.14

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Solution

The fourth proportional to 27,938.16, 41,907.60 and 8,217.14 is: 12,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938.16 : 41,907.60 = 8,217.14 : x
  2. Step 2: Convert to fraction form
    27,938.16/41,907.60 = 8,217.14/x
  3. Step 3: Cross multiply
    27,938.16x = 41,907.60 × 8,217.14
  4. Step 4: Simplify right side
    27,938.16x = 344,360,406.73
  5. Step 5: Solve for x
    x = 344,360,406.73/27,938.16
  6. Step 6: Final answer
    x = 12,325.81

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1.5x scale

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.