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Finding the Fourth Proportional to 7,776.11, 11,662.08 and 3,392.57

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Solution

The fourth proportional to 7,776.11, 11,662.08 and 3,392.57 is: 5,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.11 : 11,662.08 = 3,392.57 : x
  2. Step 2: Convert to fraction form
    7,776.11/11,662.08 = 3,392.57/x
  3. Step 3: Cross multiply
    7,776.11x = 11,662.08 × 3,392.57
  4. Step 4: Simplify right side
    7,776.11x = 39,564,364.44
  5. Step 5: Solve for x
    x = 39,564,364.44/7,776.11
  6. Step 6: Final answer
    x = 5,087.94

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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.