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Finding the Fourth Proportional to 12,550, 17,319.54 and 6,961

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Solution

The fourth proportional to 12,550, 17,319.54 and 6,961 is: 9,606.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,550 : 17,319.54 = 6,961 : x
  2. Step 2: Convert to fraction form
    12,550/17,319.54 = 6,961/x
  3. Step 3: Cross multiply
    12,550x = 17,319.54 × 6,961
  4. Step 4: Simplify right side
    12,550x = 120,561,317.94
  5. Step 5: Solve for x
    x = 120,561,317.94/12,550
  6. Step 6: Final answer
    x = 9,606.48

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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.