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Finding the Fourth Proportional to 1,764.40, 2,652.70 and 1,650.20

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Solution

The fourth proportional to 1,764.40, 2,652.70 and 1,650.20 is: 2,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.40 : 2,652.70 = 1,650.20 : x
  2. Step 2: Convert to fraction form
    1,764.40/2,652.70 = 1,650.20/x
  3. Step 3: Cross multiply
    1,764.40x = 2,652.70 × 1,650.20
  4. Step 4: Simplify right side
    1,764.40x = 4,377,485.54
  5. Step 5: Solve for x
    x = 4,377,485.54/1,764.40
  6. Step 6: Final answer
    x = 2,481.01

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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.