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Finding the Fourth Proportional to 3,163.92, 4,742.50 and 1,605.07

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Solution

The fourth proportional to 3,163.92, 4,742.50 and 1,605.07 is: 2,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.92 : 4,742.50 = 1,605.07 : x
  2. Step 2: Convert to fraction form
    3,163.92/4,742.50 = 1,605.07/x
  3. Step 3: Cross multiply
    3,163.92x = 4,742.50 × 1,605.07
  4. Step 4: Simplify right side
    3,163.92x = 7,612,044.48
  5. Step 5: Solve for x
    x = 7,612,044.48/3,163.92
  6. Step 6: Final answer
    x = 2,405.89

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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.