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Finding the Fourth Proportional to 22,372.71, 30,876.80 and 13,422.41

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Solution

The fourth proportional to 22,372.71, 30,876.80 and 13,422.41 is: 18,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,372.71 : 30,876.80 = 13,422.41 : x
  2. Step 2: Convert to fraction form
    22,372.71/30,876.80 = 13,422.41/x
  3. Step 3: Cross multiply
    22,372.71x = 30,876.80 × 13,422.41
  4. Step 4: Simplify right side
    22,372.71x = 414,440,963.38
  5. Step 5: Solve for x
    x = 414,440,963.38/22,372.71
  6. Step 6: Final answer
    x = 18,524.40

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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.