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Finding the Fourth Proportional to 13,188, 18,199.44 and 7,600.80

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Solution

The fourth proportional to 13,188, 18,199.44 and 7,600.80 is: 10,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188 : 18,199.44 = 7,600.80 : x
  2. Step 2: Convert to fraction form
    13,188/18,199.44 = 7,600.80/x
  3. Step 3: Cross multiply
    13,188x = 18,199.44 × 7,600.80
  4. Step 4: Simplify right side
    13,188x = 138,330,303.55
  5. Step 5: Solve for x
    x = 138,330,303.55/13,188
  6. Step 6: Final answer
    x = 10,489.10

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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.