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Finding the Fourth Proportional to 13,229, 18,255.42 and 7,260.55

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Solution

The fourth proportional to 13,229, 18,255.42 and 7,260.55 is: 10,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229 : 18,255.42 = 7,260.55 : x
  2. Step 2: Convert to fraction form
    13,229/18,255.42 = 7,260.55/x
  3. Step 3: Cross multiply
    13,229x = 18,255.42 × 7,260.55
  4. Step 4: Simplify right side
    13,229x = 132,544,389.68
  5. Step 5: Solve for x
    x = 132,544,389.68/13,229
  6. Step 6: Final answer
    x = 10,019.23

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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.