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Finding the Fourth Proportional to 11,605.96, 17,381.10 and 6,660.64

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Solution

The fourth proportional to 11,605.96, 17,381.10 and 6,660.64 is: 9,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.96 : 17,381.10 = 6,660.64 : x
  2. Step 2: Convert to fraction form
    11,605.96/17,381.10 = 6,660.64/x
  3. Step 3: Cross multiply
    11,605.96x = 17,381.10 × 6,660.64
  4. Step 4: Simplify right side
    11,605.96x = 115,769,249.90
  5. Step 5: Solve for x
    x = 115,769,249.90/11,605.96
  6. Step 6: Final answer
    x = 9,974.98

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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.