Home / 1,751.18-2,622.65-823.75

Finding the Fourth Proportional to 1,751.18, 2,622.65 and 823.75

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Solution

The fourth proportional to 1,751.18, 2,622.65 and 823.75 is: 1,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.18 : 2,622.65 = 823.75 : x
  2. Step 2: Convert to fraction form
    1,751.18/2,622.65 = 823.75/x
  3. Step 3: Cross multiply
    1,751.18x = 2,622.65 × 823.75
  4. Step 4: Simplify right side
    1,751.18x = 2,160,397.26
  5. Step 5: Solve for x
    x = 2,160,397.26/1,751.18
  6. Step 6: Final answer
    x = 1,233.68

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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.