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Finding the Fourth Proportional to 1,750.90, 2,410.97 and 1,561.82

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Solution

The fourth proportional to 1,750.90, 2,410.97 and 1,561.82 is: 2,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.90 : 2,410.97 = 1,561.82 : x
  2. Step 2: Convert to fraction form
    1,750.90/2,410.97 = 1,561.82/x
  3. Step 3: Cross multiply
    1,750.90x = 2,410.97 × 1,561.82
  4. Step 4: Simplify right side
    1,750.90x = 3,765,481.30
  5. Step 5: Solve for x
    x = 3,765,481.30/1,750.90
  6. Step 6: Final answer
    x = 2,150.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.