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Finding the Fourth Proportional to 2,071.21, 3,107 and 684.55

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Solution

The fourth proportional to 2,071.21, 3,107 and 684.55 is: 1,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.21 : 3,107 = 684.55 : x
  2. Step 2: Convert to fraction form
    2,071.21/3,107 = 684.55/x
  3. Step 3: Cross multiply
    2,071.21x = 3,107 × 684.55
  4. Step 4: Simplify right side
    2,071.21x = 2,126,896.85
  5. Step 5: Solve for x
    x = 2,126,896.85/2,071.21
  6. Step 6: Final answer
    x = 1,026.89

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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.