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Finding the Fourth Proportional to 3,073.56, 4,610.40 and 765

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Solution

The fourth proportional to 3,073.56, 4,610.40 and 765 is: 1,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.56 : 4,610.40 = 765 : x
  2. Step 2: Convert to fraction form
    3,073.56/4,610.40 = 765/x
  3. Step 3: Cross multiply
    3,073.56x = 4,610.40 × 765
  4. Step 4: Simplify right side
    3,073.56x = 3,526,956.00
  5. Step 5: Solve for x
    x = 3,526,956.00/3,073.56
  6. Step 6: Final answer
    x = 1,147.51

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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.