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Finding the Fourth Proportional to 7,940.77, 10,965.24 and 4,961.69

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Solution

The fourth proportional to 7,940.77, 10,965.24 and 4,961.69 is: 6,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.77 : 10,965.24 = 4,961.69 : x
  2. Step 2: Convert to fraction form
    7,940.77/10,965.24 = 4,961.69/x
  3. Step 3: Cross multiply
    7,940.77x = 10,965.24 × 4,961.69
  4. Step 4: Simplify right side
    7,940.77x = 54,406,121.66
  5. Step 5: Solve for x
    x = 54,406,121.66/7,940.77
  6. Step 6: Final answer
    x = 6,851.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.