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Finding the Fourth Proportional to 7,892.82, 11,834.88 and 3,211.62

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Solution

The fourth proportional to 7,892.82, 11,834.88 and 3,211.62 is: 4,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.82 : 11,834.88 = 3,211.62 : x
  2. Step 2: Convert to fraction form
    7,892.82/11,834.88 = 3,211.62/x
  3. Step 3: Cross multiply
    7,892.82x = 11,834.88 × 3,211.62
  4. Step 4: Simplify right side
    7,892.82x = 38,009,137.31
  5. Step 5: Solve for x
    x = 38,009,137.31/7,892.82
  6. Step 6: Final answer
    x = 4,815.66

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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.