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Finding the Fourth Proportional to 7,893.36, 10,938.90 and 7,782

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Solution

The fourth proportional to 7,893.36, 10,938.90 and 7,782 is: 10,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.36 : 10,938.90 = 7,782 : x
  2. Step 2: Convert to fraction form
    7,893.36/10,938.90 = 7,782/x
  3. Step 3: Cross multiply
    7,893.36x = 10,938.90 × 7,782
  4. Step 4: Simplify right side
    7,893.36x = 85,126,519.80
  5. Step 5: Solve for x
    x = 85,126,519.80/7,893.36
  6. Step 6: Final answer
    x = 10,784.57

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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.