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Finding the Fourth Proportional to 12,763, 17,612.94 and 7,174

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Solution

The fourth proportional to 12,763, 17,612.94 and 7,174 is: 9,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763 : 17,612.94 = 7,174 : x
  2. Step 2: Convert to fraction form
    12,763/17,612.94 = 7,174/x
  3. Step 3: Cross multiply
    12,763x = 17,612.94 × 7,174
  4. Step 4: Simplify right side
    12,763x = 126,355,231.56
  5. Step 5: Solve for x
    x = 126,355,231.56/12,763
  6. Step 6: Final answer
    x = 9,900.12

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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.