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Finding the Fourth Proportional to 3,867.84, 5,338.08 and 2,296.80

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Solution

The fourth proportional to 3,867.84, 5,338.08 and 2,296.80 is: 3,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.84 : 5,338.08 = 2,296.80 : x
  2. Step 2: Convert to fraction form
    3,867.84/5,338.08 = 2,296.80/x
  3. Step 3: Cross multiply
    3,867.84x = 5,338.08 × 2,296.80
  4. Step 4: Simplify right side
    3,867.84x = 12,260,502.14
  5. Step 5: Solve for x
    x = 12,260,502.14/3,867.84
  6. Step 6: Final answer
    x = 3,169.86

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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.