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Finding the Fourth Proportional to 13,104.28, 18,084 and 7,136.02

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Solution

The fourth proportional to 13,104.28, 18,084 and 7,136.02 is: 9,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.28 : 18,084 = 7,136.02 : x
  2. Step 2: Convert to fraction form
    13,104.28/18,084 = 7,136.02/x
  3. Step 3: Cross multiply
    13,104.28x = 18,084 × 7,136.02
  4. Step 4: Simplify right side
    13,104.28x = 129,047,785.68
  5. Step 5: Solve for x
    x = 129,047,785.68/13,104.28
  6. Step 6: Final answer
    x = 9,847.76

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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.