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Finding the Fourth Proportional to 12,763, 17,613.12 and 7,795

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Solution

The fourth proportional to 12,763, 17,613.12 and 7,795 is: 10,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763 : 17,613.12 = 7,795 : x
  2. Step 2: Convert to fraction form
    12,763/17,613.12 = 7,795/x
  3. Step 3: Cross multiply
    12,763x = 17,613.12 × 7,795
  4. Step 4: Simplify right side
    12,763x = 137,294,270.40
  5. Step 5: Solve for x
    x = 137,294,270.40/12,763
  6. Step 6: Final answer
    x = 10,757.21

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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.