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Finding the Fourth Proportional to 13,211.88, 19,817.82 and 8,019.24

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Solution

The fourth proportional to 13,211.88, 19,817.82 and 8,019.24 is: 12,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.88 : 19,817.82 = 8,019.24 : x
  2. Step 2: Convert to fraction form
    13,211.88/19,817.82 = 8,019.24/x
  3. Step 3: Cross multiply
    13,211.88x = 19,817.82 × 8,019.24
  4. Step 4: Simplify right side
    13,211.88x = 158,923,854.86
  5. Step 5: Solve for x
    x = 158,923,854.86/13,211.88
  6. Step 6: Final answer
    x = 12,028.86

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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.