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Finding the Fourth Proportional to 13,012.68, 17,958.07 and 8,230.92

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Solution

The fourth proportional to 13,012.68, 17,958.07 and 8,230.92 is: 11,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.68 : 17,958.07 = 8,230.92 : x
  2. Step 2: Convert to fraction form
    13,012.68/17,958.07 = 8,230.92/x
  3. Step 3: Cross multiply
    13,012.68x = 17,958.07 × 8,230.92
  4. Step 4: Simplify right side
    13,012.68x = 147,811,380.47
  5. Step 5: Solve for x
    x = 147,811,380.47/13,012.68
  6. Step 6: Final answer
    x = 11,359.02

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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.