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Finding the Fourth Proportional to 12,766.76, 17,607.16 and 8,286.08

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Solution

The fourth proportional to 12,766.76, 17,607.16 and 8,286.08 is: 11,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.76 : 17,607.16 = 8,286.08 : x
  2. Step 2: Convert to fraction form
    12,766.76/17,607.16 = 8,286.08/x
  3. Step 3: Cross multiply
    12,766.76x = 17,607.16 × 8,286.08
  4. Step 4: Simplify right side
    12,766.76x = 145,894,336.33
  5. Step 5: Solve for x
    x = 145,894,336.33/12,766.76
  6. Step 6: Final answer
    x = 11,427.67

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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.