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Finding the Fourth Proportional to 13,136.64, 18,128 and 7,168.16

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Solution

The fourth proportional to 13,136.64, 18,128 and 7,168.16 is: 9,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.64 : 18,128 = 7,168.16 : x
  2. Step 2: Convert to fraction form
    13,136.64/18,128 = 7,168.16/x
  3. Step 3: Cross multiply
    13,136.64x = 18,128 × 7,168.16
  4. Step 4: Simplify right side
    13,136.64x = 129,944,404.48
  5. Step 5: Solve for x
    x = 129,944,404.48/13,136.64
  6. Step 6: Final answer
    x = 9,891.75

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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.