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Finding the Fourth Proportional to 2,684.44, 3,703.57 and 1,689.78

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Solution

The fourth proportional to 2,684.44, 3,703.57 and 1,689.78 is: 2,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.44 : 3,703.57 = 1,689.78 : x
  2. Step 2: Convert to fraction form
    2,684.44/3,703.57 = 1,689.78/x
  3. Step 3: Cross multiply
    2,684.44x = 3,703.57 × 1,689.78
  4. Step 4: Simplify right side
    2,684.44x = 6,258,218.51
  5. Step 5: Solve for x
    x = 6,258,218.51/2,684.44
  6. Step 6: Final answer
    x = 2,331.29

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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.