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Finding the Fourth Proportional to 13,493.40, 18,623.43 and 8,188.44

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Solution

The fourth proportional to 13,493.40, 18,623.43 and 8,188.44 is: 11,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.40 : 18,623.43 = 8,188.44 : x
  2. Step 2: Convert to fraction form
    13,493.40/18,623.43 = 8,188.44/x
  3. Step 3: Cross multiply
    13,493.40x = 18,623.43 × 8,188.44
  4. Step 4: Simplify right side
    13,493.40x = 152,496,839.15
  5. Step 5: Solve for x
    x = 152,496,839.15/13,493.40
  6. Step 6: Final answer
    x = 11,301.59

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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.