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Finding the Fourth Proportional to 2,188, 3,260.12 and 2,020.33

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Solution

The fourth proportional to 2,188, 3,260.12 and 2,020.33 is: 3,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188 : 3,260.12 = 2,020.33 : x
  2. Step 2: Convert to fraction form
    2,188/3,260.12 = 2,020.33/x
  3. Step 3: Cross multiply
    2,188x = 3,260.12 × 2,020.33
  4. Step 4: Simplify right side
    2,188x = 6,586,518.24
  5. Step 5: Solve for x
    x = 6,586,518.24/2,188
  6. Step 6: Final answer
    x = 3,010.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.