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Finding the Fourth Proportional to 3,863.12, 5,330.76 and 2,291

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Solution

The fourth proportional to 3,863.12, 5,330.76 and 2,291 is: 3,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.12 : 5,330.76 = 2,291 : x
  2. Step 2: Convert to fraction form
    3,863.12/5,330.76 = 2,291/x
  3. Step 3: Cross multiply
    3,863.12x = 5,330.76 × 2,291
  4. Step 4: Simplify right side
    3,863.12x = 12,212,771.16
  5. Step 5: Solve for x
    x = 12,212,771.16/3,863.12
  6. Step 6: Final answer
    x = 3,161.38

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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.