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Finding the Fourth Proportional to 2,641.62, 3,646.26 and 1,646.31

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Solution

The fourth proportional to 2,641.62, 3,646.26 and 1,646.31 is: 2,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.62 : 3,646.26 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    2,641.62/3,646.26 = 1,646.31/x
  3. Step 3: Cross multiply
    2,641.62x = 3,646.26 × 1,646.31
  4. Step 4: Simplify right side
    2,641.62x = 6,002,874.30
  5. Step 5: Solve for x
    x = 6,002,874.30/2,641.62
  6. Step 6: Final answer
    x = 2,272.42

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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.