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Finding the Fourth Proportional to 12,874.53, 19,311.80 and 8,286.69

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Solution

The fourth proportional to 12,874.53, 19,311.80 and 8,286.69 is: 12,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.53 : 19,311.80 = 8,286.69 : x
  2. Step 2: Convert to fraction form
    12,874.53/19,311.80 = 8,286.69/x
  3. Step 3: Cross multiply
    12,874.53x = 19,311.80 × 8,286.69
  4. Step 4: Simplify right side
    12,874.53x = 160,030,858.51
  5. Step 5: Solve for x
    x = 160,030,858.51/12,874.53
  6. Step 6: Final answer
    x = 12,430.04

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Similar ratio
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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.