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Finding the Fourth Proportional to 13,853.90, 19,113.90 and 8,188.82

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Solution

The fourth proportional to 13,853.90, 19,113.90 and 8,188.82 is: 11,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.90 : 19,113.90 = 8,188.82 : x
  2. Step 2: Convert to fraction form
    13,853.90/19,113.90 = 8,188.82/x
  3. Step 3: Cross multiply
    13,853.90x = 19,113.90 × 8,188.82
  4. Step 4: Simplify right side
    13,853.90x = 156,520,286.60
  5. Step 5: Solve for x
    x = 156,520,286.60/13,853.90
  6. Step 6: Final answer
    x = 11,297.92

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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.