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Finding the Fourth Proportional to 2,638.38, 3,641.38 and 1,590.44

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Solution

The fourth proportional to 2,638.38, 3,641.38 and 1,590.44 is: 2,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.38 : 3,641.38 = 1,590.44 : x
  2. Step 2: Convert to fraction form
    2,638.38/3,641.38 = 1,590.44/x
  3. Step 3: Cross multiply
    2,638.38x = 3,641.38 × 1,590.44
  4. Step 4: Simplify right side
    2,638.38x = 5,791,396.41
  5. Step 5: Solve for x
    x = 5,791,396.41/2,638.38
  6. Step 6: Final answer
    x = 2,195.06

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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.