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Finding the Fourth Proportional to 12,381.12, 17,091 and 8,609.76

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Solution

The fourth proportional to 12,381.12, 17,091 and 8,609.76 is: 11,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.12 : 17,091 = 8,609.76 : x
  2. Step 2: Convert to fraction form
    12,381.12/17,091 = 8,609.76/x
  3. Step 3: Cross multiply
    12,381.12x = 17,091 × 8,609.76
  4. Step 4: Simplify right side
    12,381.12x = 147,149,408.16
  5. Step 5: Solve for x
    x = 147,149,408.16/12,381.12
  6. Step 6: Final answer
    x = 11,884.98

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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.