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Finding the Fourth Proportional to 12,885.96, 17,770.38 and 8,408.28

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Solution

The fourth proportional to 12,885.96, 17,770.38 and 8,408.28 is: 11,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.96 : 17,770.38 = 8,408.28 : x
  2. Step 2: Convert to fraction form
    12,885.96/17,770.38 = 8,408.28/x
  3. Step 3: Cross multiply
    12,885.96x = 17,770.38 × 8,408.28
  4. Step 4: Simplify right side
    12,885.96x = 149,418,330.75
  5. Step 5: Solve for x
    x = 149,418,330.75/12,885.96
  6. Step 6: Final answer
    x = 11,595.44

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Half scale
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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.