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Finding the Fourth Proportional to 7,873.75, 11,812.25 and 3,256.75

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Solution

The fourth proportional to 7,873.75, 11,812.25 and 3,256.75 is: 4,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.75 : 11,812.25 = 3,256.75 : x
  2. Step 2: Convert to fraction form
    7,873.75/11,812.25 = 3,256.75/x
  3. Step 3: Cross multiply
    7,873.75x = 11,812.25 × 3,256.75
  4. Step 4: Simplify right side
    7,873.75x = 38,469,545.19
  5. Step 5: Solve for x
    x = 38,469,545.19/7,873.75
  6. Step 6: Final answer
    x = 4,885.80

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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.