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Finding the Fourth Proportional to 18,145.74, 27,193.09 and 14,431.49

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Solution

The fourth proportional to 18,145.74, 27,193.09 and 14,431.49 is: 21,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,145.74 : 27,193.09 = 14,431.49 : x
  2. Step 2: Convert to fraction form
    18,145.74/27,193.09 = 14,431.49/x
  3. Step 3: Cross multiply
    18,145.74x = 27,193.09 × 14,431.49
  4. Step 4: Simplify right side
    18,145.74x = 392,436,702.34
  5. Step 5: Solve for x
    x = 392,436,702.34/18,145.74
  6. Step 6: Final answer
    x = 21,626.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.