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Finding the Fourth Proportional to 18,422.38, 25,422.09 and 10,464.58

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Solution

The fourth proportional to 18,422.38, 25,422.09 and 10,464.58 is: 14,440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,422.38 : 25,422.09 = 10,464.58 : x
  2. Step 2: Convert to fraction form
    18,422.38/25,422.09 = 10,464.58/x
  3. Step 3: Cross multiply
    18,422.38x = 25,422.09 × 10,464.58
  4. Step 4: Simplify right side
    18,422.38x = 266,031,494.57
  5. Step 5: Solve for x
    x = 266,031,494.57/18,422.38
  6. Step 6: Final answer
    x = 14,440.67

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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.