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Finding the Fourth Proportional to 7,640.43, 11,460.64 and 2,093.80

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Solution

The fourth proportional to 7,640.43, 11,460.64 and 2,093.80 is: 3,140.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.43 : 11,460.64 = 2,093.80 : x
  2. Step 2: Convert to fraction form
    7,640.43/11,460.64 = 2,093.80/x
  3. Step 3: Cross multiply
    7,640.43x = 11,460.64 × 2,093.80
  4. Step 4: Simplify right side
    7,640.43x = 23,996,279.56
  5. Step 5: Solve for x
    x = 23,996,279.56/7,640.43
  6. Step 6: Final answer
    x = 3,140.70

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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.