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Finding the Fourth Proportional to 3,403.76, 5,105.77 and 1,763.51

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Solution

The fourth proportional to 3,403.76, 5,105.77 and 1,763.51 is: 2,645.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.76 : 5,105.77 = 1,763.51 : x
  2. Step 2: Convert to fraction form
    3,403.76/5,105.77 = 1,763.51/x
  3. Step 3: Cross multiply
    3,403.76x = 5,105.77 × 1,763.51
  4. Step 4: Simplify right side
    3,403.76x = 9,004,046.52
  5. Step 5: Solve for x
    x = 9,004,046.52/3,403.76
  6. Step 6: Final answer
    x = 2,645.33

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1.5x scale

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.