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Finding the Fourth Proportional to 2,796.39, 3,859.11 and 1,537.65

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Solution

The fourth proportional to 2,796.39, 3,859.11 and 1,537.65 is: 2,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.39 : 3,859.11 = 1,537.65 : x
  2. Step 2: Convert to fraction form
    2,796.39/3,859.11 = 1,537.65/x
  3. Step 3: Cross multiply
    2,796.39x = 3,859.11 × 1,537.65
  4. Step 4: Simplify right side
    2,796.39x = 5,933,960.49
  5. Step 5: Solve for x
    x = 5,933,960.49/2,796.39
  6. Step 6: Final answer
    x = 2,122.01

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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.