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Finding the Fourth Proportional to 22,035, 30,409.92 and 13,653.12

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Solution

The fourth proportional to 22,035, 30,409.92 and 13,653.12 is: 18,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,035 : 30,409.92 = 13,653.12 : x
  2. Step 2: Convert to fraction form
    22,035/30,409.92 = 13,653.12/x
  3. Step 3: Cross multiply
    22,035x = 30,409.92 × 13,653.12
  4. Step 4: Simplify right side
    22,035x = 415,190,286.95
  5. Step 5: Solve for x
    x = 415,190,286.95/22,035
  6. Step 6: Final answer
    x = 18,842.31

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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.