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Finding the Fourth Proportional to 13,852.82, 19,114.38 and 8,188.49

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Solution

The fourth proportional to 13,852.82, 19,114.38 and 8,188.49 is: 11,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.82 : 19,114.38 = 8,188.49 : x
  2. Step 2: Convert to fraction form
    13,852.82/19,114.38 = 8,188.49/x
  3. Step 3: Cross multiply
    13,852.82x = 19,114.38 × 8,188.49
  4. Step 4: Simplify right side
    13,852.82x = 156,517,957.27
  5. Step 5: Solve for x
    x = 156,517,957.27/13,852.82
  6. Step 6: Final answer
    x = 11,298.63

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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.