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Finding the Fourth Proportional to 17,561.40, 26,305.30 and 8,209.40

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Solution

The fourth proportional to 17,561.40, 26,305.30 and 8,209.40 is: 12,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,561.40 : 26,305.30 = 8,209.40 : x
  2. Step 2: Convert to fraction form
    17,561.40/26,305.30 = 8,209.40/x
  3. Step 3: Cross multiply
    17,561.40x = 26,305.30 × 8,209.40
  4. Step 4: Simplify right side
    17,561.40x = 215,950,729.82
  5. Step 5: Solve for x
    x = 215,950,729.82/17,561.40
  6. Step 6: Final answer
    x = 12,296.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.