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Finding the Fourth Proportional to 3,073.73, 4,610.62 and 765.23

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Solution

The fourth proportional to 3,073.73, 4,610.62 and 765.23 is: 1,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.73 : 4,610.62 = 765.23 : x
  2. Step 2: Convert to fraction form
    3,073.73/4,610.62 = 765.23/x
  3. Step 3: Cross multiply
    3,073.73x = 4,610.62 × 765.23
  4. Step 4: Simplify right side
    3,073.73x = 3,528,184.74
  5. Step 5: Solve for x
    x = 3,528,184.74/3,073.73
  6. Step 6: Final answer
    x = 1,147.85

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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.