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Finding the Fourth Proportional to 13,493.67, 18,619.92 and 8,188.17

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Solution

The fourth proportional to 13,493.67, 18,619.92 and 8,188.17 is: 11,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.67 : 18,619.92 = 8,188.17 : x
  2. Step 2: Convert to fraction form
    13,493.67/18,619.92 = 8,188.17/x
  3. Step 3: Cross multiply
    13,493.67x = 18,619.92 × 8,188.17
  4. Step 4: Simplify right side
    13,493.67x = 152,463,070.35
  5. Step 5: Solve for x
    x = 152,463,070.35/13,493.67
  6. Step 6: Final answer
    x = 11,298.86

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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.