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Finding the Fourth Proportional to 11,697.77, 17,520.21 and 8,203.29

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Solution

The fourth proportional to 11,697.77, 17,520.21 and 8,203.29 is: 12,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.77 : 17,520.21 = 8,203.29 : x
  2. Step 2: Convert to fraction form
    11,697.77/17,520.21 = 8,203.29/x
  3. Step 3: Cross multiply
    11,697.77x = 17,520.21 × 8,203.29
  4. Step 4: Simplify right side
    11,697.77x = 143,723,363.49
  5. Step 5: Solve for x
    x = 143,723,363.49/11,697.77
  6. Step 6: Final answer
    x = 12,286.40

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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.