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Finding the Fourth Proportional to 1,640.89, 2,461.97 and 1,334.71

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Solution

The fourth proportional to 1,640.89, 2,461.97 and 1,334.71 is: 2,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.89 : 2,461.97 = 1,334.71 : x
  2. Step 2: Convert to fraction form
    1,640.89/2,461.97 = 1,334.71/x
  3. Step 3: Cross multiply
    1,640.89x = 2,461.97 × 1,334.71
  4. Step 4: Simplify right side
    1,640.89x = 3,286,015.98
  5. Step 5: Solve for x
    x = 3,286,015.98/1,640.89
  6. Step 6: Final answer
    x = 2,002.58

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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.