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Finding the Fourth Proportional to 12,885.32, 17,778.54 and 8,167.88

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Solution

The fourth proportional to 12,885.32, 17,778.54 and 8,167.88 is: 11,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.32 : 17,778.54 = 8,167.88 : x
  2. Step 2: Convert to fraction form
    12,885.32/17,778.54 = 8,167.88/x
  3. Step 3: Cross multiply
    12,885.32x = 17,778.54 × 8,167.88
  4. Step 4: Simplify right side
    12,885.32x = 145,212,981.30
  5. Step 5: Solve for x
    x = 145,212,981.30/12,885.32
  6. Step 6: Final answer
    x = 11,269.64

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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.