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Finding the Fourth Proportional to 3,262.50, 4,502.25 and 2,020.50

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Solution

The fourth proportional to 3,262.50, 4,502.25 and 2,020.50 is: 2,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.50 : 4,502.25 = 2,020.50 : x
  2. Step 2: Convert to fraction form
    3,262.50/4,502.25 = 2,020.50/x
  3. Step 3: Cross multiply
    3,262.50x = 4,502.25 × 2,020.50
  4. Step 4: Simplify right side
    3,262.50x = 9,096,796.13
  5. Step 5: Solve for x
    x = 9,096,796.13/3,262.50
  6. Step 6: Final answer
    x = 2,788.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.