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Finding the Fourth Proportional to 1,757.34, 2,640.87 and 1,213.02

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Solution

The fourth proportional to 1,757.34, 2,640.87 and 1,213.02 is: 1,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.34 : 2,640.87 = 1,213.02 : x
  2. Step 2: Convert to fraction form
    1,757.34/2,640.87 = 1,213.02/x
  3. Step 3: Cross multiply
    1,757.34x = 2,640.87 × 1,213.02
  4. Step 4: Simplify right side
    1,757.34x = 3,203,428.13
  5. Step 5: Solve for x
    x = 3,203,428.13/1,757.34
  6. Step 6: Final answer
    x = 1,822.88

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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.