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Finding the Fourth Proportional to 13,169.50, 18,173.91 and 7,201.22

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Solution

The fourth proportional to 13,169.50, 18,173.91 and 7,201.22 is: 9,937.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.50 : 18,173.91 = 7,201.22 : x
  2. Step 2: Convert to fraction form
    13,169.50/18,173.91 = 7,201.22/x
  3. Step 3: Cross multiply
    13,169.50x = 18,173.91 × 7,201.22
  4. Step 4: Simplify right side
    13,169.50x = 130,874,324.17
  5. Step 5: Solve for x
    x = 130,874,324.17/13,169.50
  6. Step 6: Final answer
    x = 9,937.68

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1.5x scale

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.