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Finding the Fourth Proportional to 2,805.68, 4,205.46 and 1,073.90

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Solution

The fourth proportional to 2,805.68, 4,205.46 and 1,073.90 is: 1,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.68 : 4,205.46 = 1,073.90 : x
  2. Step 2: Convert to fraction form
    2,805.68/4,205.46 = 1,073.90/x
  3. Step 3: Cross multiply
    2,805.68x = 4,205.46 × 1,073.90
  4. Step 4: Simplify right side
    2,805.68x = 4,516,243.49
  5. Step 5: Solve for x
    x = 4,516,243.49/2,805.68
  6. Step 6: Final answer
    x = 1,609.68

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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.