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Finding the Fourth Proportional to 2,135.08, 3,202.62 and 980.92

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Solution

The fourth proportional to 2,135.08, 3,202.62 and 980.92 is: 1,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.08 : 3,202.62 = 980.92 : x
  2. Step 2: Convert to fraction form
    2,135.08/3,202.62 = 980.92/x
  3. Step 3: Cross multiply
    2,135.08x = 3,202.62 × 980.92
  4. Step 4: Simplify right side
    2,135.08x = 3,141,514.01
  5. Step 5: Solve for x
    x = 3,141,514.01/2,135.08
  6. Step 6: Final answer
    x = 1,471.38

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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.