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Finding the Fourth Proportional to 7,891.36, 10,936.12 and 7,780

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Solution

The fourth proportional to 7,891.36, 10,936.12 and 7,780 is: 10,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.36 : 10,936.12 = 7,780 : x
  2. Step 2: Convert to fraction form
    7,891.36/10,936.12 = 7,780/x
  3. Step 3: Cross multiply
    7,891.36x = 10,936.12 × 7,780
  4. Step 4: Simplify right side
    7,891.36x = 85,083,013.60
  5. Step 5: Solve for x
    x = 85,083,013.60/7,891.36
  6. Step 6: Final answer
    x = 10,781.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.