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Finding the Fourth Proportional to 2,689.39, 3,712.23 and 1,743.51

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Solution

The fourth proportional to 2,689.39, 3,712.23 and 1,743.51 is: 2,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.39 : 3,712.23 = 1,743.51 : x
  2. Step 2: Convert to fraction form
    2,689.39/3,712.23 = 1,743.51/x
  3. Step 3: Cross multiply
    2,689.39x = 3,712.23 × 1,743.51
  4. Step 4: Simplify right side
    2,689.39x = 6,472,324.05
  5. Step 5: Solve for x
    x = 6,472,324.05/2,689.39
  6. Step 6: Final answer
    x = 2,406.61

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1.5x scale

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.