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Finding the Fourth Proportional to 2,691.89, 3,713.19 and 1,628.90

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Solution

The fourth proportional to 2,691.89, 3,713.19 and 1,628.90 is: 2,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.89 : 3,713.19 = 1,628.90 : x
  2. Step 2: Convert to fraction form
    2,691.89/3,713.19 = 1,628.90/x
  3. Step 3: Cross multiply
    2,691.89x = 3,713.19 × 1,628.90
  4. Step 4: Simplify right side
    2,691.89x = 6,048,415.19
  5. Step 5: Solve for x
    x = 6,048,415.19/2,691.89
  6. Step 6: Final answer
    x = 2,246.90

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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.