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Finding the Fourth Proportional to 3,867.98, 5,337.84 and 2,274.20

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Solution

The fourth proportional to 3,867.98, 5,337.84 and 2,274.20 is: 3,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.98 : 5,337.84 = 2,274.20 : x
  2. Step 2: Convert to fraction form
    3,867.98/5,337.84 = 2,274.20/x
  3. Step 3: Cross multiply
    3,867.98x = 5,337.84 × 2,274.20
  4. Step 4: Simplify right side
    3,867.98x = 12,139,315.73
  5. Step 5: Solve for x
    x = 12,139,315.73/3,867.98
  6. Step 6: Final answer
    x = 3,138.41

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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.