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Finding the Fourth Proportional to 1,757.43, 2,649.38 and 1,638.51

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Solution

The fourth proportional to 1,757.43, 2,649.38 and 1,638.51 is: 2,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.43 : 2,649.38 = 1,638.51 : x
  2. Step 2: Convert to fraction form
    1,757.43/2,649.38 = 1,638.51/x
  3. Step 3: Cross multiply
    1,757.43x = 2,649.38 × 1,638.51
  4. Step 4: Simplify right side
    1,757.43x = 4,341,027.43
  5. Step 5: Solve for x
    x = 4,341,027.43/1,757.43
  6. Step 6: Final answer
    x = 2,470.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.