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Finding the Fourth Proportional to 13,401.80, 18,494.49 and 7,433.54

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Solution

The fourth proportional to 13,401.80, 18,494.49 and 7,433.54 is: 10,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.80 : 18,494.49 = 7,433.54 : x
  2. Step 2: Convert to fraction form
    13,401.80/18,494.49 = 7,433.54/x
  3. Step 3: Cross multiply
    13,401.80x = 18,494.49 × 7,433.54
  4. Step 4: Simplify right side
    13,401.80x = 137,479,531.19
  5. Step 5: Solve for x
    x = 137,479,531.19/13,401.80
  6. Step 6: Final answer
    x = 10,258.29

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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.