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Finding the Fourth Proportional to 7,706.45, 11,500.64 and 6,876

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Solution

The fourth proportional to 7,706.45, 11,500.64 and 6,876 is: 10,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.45 : 11,500.64 = 6,876 : x
  2. Step 2: Convert to fraction form
    7,706.45/11,500.64 = 6,876/x
  3. Step 3: Cross multiply
    7,706.45x = 11,500.64 × 6,876
  4. Step 4: Simplify right side
    7,706.45x = 79,078,366.26
  5. Step 5: Solve for x
    x = 79,078,366.26/7,706.45
  6. Step 6: Final answer
    x = 10,261.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.