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Finding the Fourth Proportional to 2,620.89, 3,930.75 and 772.13

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Solution

The fourth proportional to 2,620.89, 3,930.75 and 772.13 is: 1,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.89 : 3,930.75 = 772.13 : x
  2. Step 2: Convert to fraction form
    2,620.89/3,930.75 = 772.13/x
  3. Step 3: Cross multiply
    2,620.89x = 3,930.75 × 772.13
  4. Step 4: Simplify right side
    2,620.89x = 3,035,059.82
  5. Step 5: Solve for x
    x = 3,035,059.82/2,620.89
  6. Step 6: Final answer
    x = 1,158.03

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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.