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Finding the Fourth Proportional to 3,897, 5,377.05 and 2,638.26

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Solution

The fourth proportional to 3,897, 5,377.05 and 2,638.26 is: 3,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 5,377.05 = 2,638.26 : x
  2. Step 2: Convert to fraction form
    3,897/5,377.05 = 2,638.26/x
  3. Step 3: Cross multiply
    3,897x = 5,377.05 × 2,638.26
  4. Step 4: Simplify right side
    3,897x = 14,186,055.93
  5. Step 5: Solve for x
    x = 14,186,055.93/3,897
  6. Step 6: Final answer
    x = 3,640.25

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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.