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Finding the Fourth Proportional to 13,188.75, 18,200.49 and 8,997

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Solution

The fourth proportional to 13,188.75, 18,200.49 and 8,997 is: 12,415.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.75 : 18,200.49 = 8,997 : x
  2. Step 2: Convert to fraction form
    13,188.75/18,200.49 = 8,997/x
  3. Step 3: Cross multiply
    13,188.75x = 18,200.49 × 8,997
  4. Step 4: Simplify right side
    13,188.75x = 163,749,808.53
  5. Step 5: Solve for x
    x = 163,749,808.53/13,188.75
  6. Step 6: Final answer
    x = 12,415.87

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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.