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Finding the Fourth Proportional to 22,378, 30,882.54 and 13,422.24

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Solution

The fourth proportional to 22,378, 30,882.54 and 13,422.24 is: 18,523.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378 : 30,882.54 = 13,422.24 : x
  2. Step 2: Convert to fraction form
    22,378/30,882.54 = 13,422.24/x
  3. Step 3: Cross multiply
    22,378x = 30,882.54 × 13,422.24
  4. Step 4: Simplify right side
    22,378x = 414,512,863.69
  5. Step 5: Solve for x
    x = 414,512,863.69/22,378
  6. Step 6: Final answer
    x = 18,523.23

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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.