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Finding the Fourth Proportional to 22,365, 30,863.97 and 13,420.26

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Solution

The fourth proportional to 22,365, 30,863.97 and 13,420.26 is: 18,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365 : 30,863.97 = 13,420.26 : x
  2. Step 2: Convert to fraction form
    22,365/30,863.97 = 13,420.26/x
  3. Step 3: Cross multiply
    22,365x = 30,863.97 × 13,420.26
  4. Step 4: Simplify right side
    22,365x = 414,202,502.03
  5. Step 5: Solve for x
    x = 414,202,502.03/22,365
  6. Step 6: Final answer
    x = 18,520.12

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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.