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Finding the Fourth Proportional to 3,874.42, 5,347.48 and 2,302.21

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Solution

The fourth proportional to 3,874.42, 5,347.48 and 2,302.21 is: 3,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.42 : 5,347.48 = 2,302.21 : x
  2. Step 2: Convert to fraction form
    3,874.42/5,347.48 = 2,302.21/x
  3. Step 3: Cross multiply
    3,874.42x = 5,347.48 × 2,302.21
  4. Step 4: Simplify right side
    3,874.42x = 12,311,021.93
  5. Step 5: Solve for x
    x = 12,311,021.93/3,874.42
  6. Step 6: Final answer
    x = 3,177.51

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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.