Home / 1,748.90-2,622.11-823.97

Finding the Fourth Proportional to 1,748.90, 2,622.11 and 823.97

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Solution

The fourth proportional to 1,748.90, 2,622.11 and 823.97 is: 1,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.90 : 2,622.11 = 823.97 : x
  2. Step 2: Convert to fraction form
    1,748.90/2,622.11 = 823.97/x
  3. Step 3: Cross multiply
    1,748.90x = 2,622.11 × 823.97
  4. Step 4: Simplify right side
    1,748.90x = 2,160,542.41
  5. Step 5: Solve for x
    x = 2,160,542.41/1,748.90
  6. Step 6: Final answer
    x = 1,235.37

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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.