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Finding the Fourth Proportional to 12,580, 17,360.94 and 6,991

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Solution

The fourth proportional to 12,580, 17,360.94 and 6,991 is: 9,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580 : 17,360.94 = 6,991 : x
  2. Step 2: Convert to fraction form
    12,580/17,360.94 = 6,991/x
  3. Step 3: Cross multiply
    12,580x = 17,360.94 × 6,991
  4. Step 4: Simplify right side
    12,580x = 121,370,331.54
  5. Step 5: Solve for x
    x = 121,370,331.54/12,580
  6. Step 6: Final answer
    x = 9,647.88

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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.