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Finding the Fourth Proportional to 7,977.87, 11,906.50 and 7,770.51

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Solution

The fourth proportional to 7,977.87, 11,906.50 and 7,770.51 is: 11,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.87 : 11,906.50 = 7,770.51 : x
  2. Step 2: Convert to fraction form
    7,977.87/11,906.50 = 7,770.51/x
  3. Step 3: Cross multiply
    7,977.87x = 11,906.50 × 7,770.51
  4. Step 4: Simplify right side
    7,977.87x = 92,519,557.89
  5. Step 5: Solve for x
    x = 92,519,557.89/7,977.87
  6. Step 6: Final answer
    x = 11,597.03

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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.