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Finding the Fourth Proportional to 12,580.31, 17,360.87 and 6,991.31

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Solution

The fourth proportional to 12,580.31, 17,360.87 and 6,991.31 is: 9,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.31 : 17,360.87 = 6,991.31 : x
  2. Step 2: Convert to fraction form
    12,580.31/17,360.87 = 6,991.31/x
  3. Step 3: Cross multiply
    12,580.31x = 17,360.87 × 6,991.31
  4. Step 4: Simplify right side
    12,580.31x = 121,375,232.49
  5. Step 5: Solve for x
    x = 121,375,232.49/12,580.31
  6. Step 6: Final answer
    x = 9,648.03

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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.