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Finding the Fourth Proportional to 12,591, 17,375.58 and 7,002

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Solution

The fourth proportional to 12,591, 17,375.58 and 7,002 is: 9,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591 : 17,375.58 = 7,002 : x
  2. Step 2: Convert to fraction form
    12,591/17,375.58 = 7,002/x
  3. Step 3: Cross multiply
    12,591x = 17,375.58 × 7,002
  4. Step 4: Simplify right side
    12,591x = 121,663,811.16
  5. Step 5: Solve for x
    x = 121,663,811.16/12,591
  6. Step 6: Final answer
    x = 9,662.76

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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.