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Finding the Fourth Proportional to 25,406.92, 38,107.86 and 7,874.92

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Solution

The fourth proportional to 25,406.92, 38,107.86 and 7,874.92 is: 11,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.92 : 38,107.86 = 7,874.92 : x
  2. Step 2: Convert to fraction form
    25,406.92/38,107.86 = 7,874.92/x
  3. Step 3: Cross multiply
    25,406.92x = 38,107.86 × 7,874.92
  4. Step 4: Simplify right side
    25,406.92x = 300,096,348.87
  5. Step 5: Solve for x
    x = 300,096,348.87/25,406.92
  6. Step 6: Final answer
    x = 11,811.60

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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.