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Finding the Fourth Proportional to 12,591.07, 17,375.70 and 7,002.07

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Solution

The fourth proportional to 12,591.07, 17,375.70 and 7,002.07 is: 9,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.07 : 17,375.70 = 7,002.07 : x
  2. Step 2: Convert to fraction form
    12,591.07/17,375.70 = 7,002.07/x
  3. Step 3: Cross multiply
    12,591.07x = 17,375.70 × 7,002.07
  4. Step 4: Simplify right side
    12,591.07x = 121,665,867.70
  5. Step 5: Solve for x
    x = 121,665,867.70/12,591.07
  6. Step 6: Final answer
    x = 9,662.87

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1.5x scale

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.