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Finding the Fourth Proportional to 12,349, 17,041.62 and 6,760

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Solution

The fourth proportional to 12,349, 17,041.62 and 6,760 is: 9,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349 : 17,041.62 = 6,760 : x
  2. Step 2: Convert to fraction form
    12,349/17,041.62 = 6,760/x
  3. Step 3: Cross multiply
    12,349x = 17,041.62 × 6,760
  4. Step 4: Simplify right side
    12,349x = 115,201,351.20
  5. Step 5: Solve for x
    x = 115,201,351.20/12,349
  6. Step 6: Final answer
    x = 9,328.80

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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.