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Finding the Fourth Proportional to 17,951.10, 26,938.80 and 8,085.30

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Solution

The fourth proportional to 17,951.10, 26,938.80 and 8,085.30 is: 12,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,951.10 : 26,938.80 = 8,085.30 : x
  2. Step 2: Convert to fraction form
    17,951.10/26,938.80 = 8,085.30/x
  3. Step 3: Cross multiply
    17,951.10x = 26,938.80 × 8,085.30
  4. Step 4: Simplify right side
    17,951.10x = 217,808,279.64
  5. Step 5: Solve for x
    x = 217,808,279.64/17,951.10
  6. Step 6: Final answer
    x = 12,133.42

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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.