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Finding the Fourth Proportional to 1,930.22, 2,895.74 and 775.97

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Solution

The fourth proportional to 1,930.22, 2,895.74 and 775.97 is: 1,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.22 : 2,895.74 = 775.97 : x
  2. Step 2: Convert to fraction form
    1,930.22/2,895.74 = 775.97/x
  3. Step 3: Cross multiply
    1,930.22x = 2,895.74 × 775.97
  4. Step 4: Simplify right side
    1,930.22x = 2,247,010.73
  5. Step 5: Solve for x
    x = 2,247,010.73/1,930.22
  6. Step 6: Final answer
    x = 1,164.12

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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.