Home / 3,742.39-5,613.30-2,109.16

Finding the Fourth Proportional to 3,742.39, 5,613.30 and 2,109.16

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Solution

The fourth proportional to 3,742.39, 5,613.30 and 2,109.16 is: 3,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.39 : 5,613.30 = 2,109.16 : x
  2. Step 2: Convert to fraction form
    3,742.39/5,613.30 = 2,109.16/x
  3. Step 3: Cross multiply
    3,742.39x = 5,613.30 × 2,109.16
  4. Step 4: Simplify right side
    3,742.39x = 11,839,347.83
  5. Step 5: Solve for x
    x = 11,839,347.83/3,742.39
  6. Step 6: Final answer
    x = 3,163.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.