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Finding the Fourth Proportional to 2,006.76, 3,010.65 and 620.25

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Solution

The fourth proportional to 2,006.76, 3,010.65 and 620.25 is: 930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.76 : 3,010.65 = 620.25 : x
  2. Step 2: Convert to fraction form
    2,006.76/3,010.65 = 620.25/x
  3. Step 3: Cross multiply
    2,006.76x = 3,010.65 × 620.25
  4. Step 4: Simplify right side
    2,006.76x = 1,867,355.66
  5. Step 5: Solve for x
    x = 1,867,355.66/2,006.76
  6. Step 6: Final answer
    x = 930.53

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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.