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Finding the Fourth Proportional to 3,446.06, 5,168.41 and 980.90

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Solution

The fourth proportional to 3,446.06, 5,168.41 and 980.90 is: 1,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.06 : 5,168.41 = 980.90 : x
  2. Step 2: Convert to fraction form
    3,446.06/5,168.41 = 980.90/x
  3. Step 3: Cross multiply
    3,446.06x = 5,168.41 × 980.90
  4. Step 4: Simplify right side
    3,446.06x = 5,069,703.84
  5. Step 5: Solve for x
    x = 5,069,703.84/3,446.06
  6. Step 6: Final answer
    x = 1,471.16

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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.