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Finding the Fourth Proportional to 3,821.64, 5,274.90 and 3,130.44

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Solution

The fourth proportional to 3,821.64, 5,274.90 and 3,130.44 is: 4,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.64 : 5,274.90 = 3,130.44 : x
  2. Step 2: Convert to fraction form
    3,821.64/5,274.90 = 3,130.44/x
  3. Step 3: Cross multiply
    3,821.64x = 5,274.90 × 3,130.44
  4. Step 4: Simplify right side
    3,821.64x = 16,512,757.96
  5. Step 5: Solve for x
    x = 16,512,757.96/3,821.64
  6. Step 6: Final answer
    x = 4,320.86

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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.