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Finding the Fourth Proportional to 2,134.06, 3,201.64 and 980.62

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Solution

The fourth proportional to 2,134.06, 3,201.64 and 980.62 is: 1,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.06 : 3,201.64 = 980.62 : x
  2. Step 2: Convert to fraction form
    2,134.06/3,201.64 = 980.62/x
  3. Step 3: Cross multiply
    2,134.06x = 3,201.64 × 980.62
  4. Step 4: Simplify right side
    2,134.06x = 3,139,592.22
  5. Step 5: Solve for x
    x = 3,139,592.22/2,134.06
  6. Step 6: Final answer
    x = 1,471.18

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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.