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Finding the Fourth Proportional to 3,446.21, 5,168.54 and 980.98

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Solution

The fourth proportional to 3,446.21, 5,168.54 and 980.98 is: 1,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.21 : 5,168.54 = 980.98 : x
  2. Step 2: Convert to fraction form
    3,446.21/5,168.54 = 980.98/x
  3. Step 3: Cross multiply
    3,446.21x = 5,168.54 × 980.98
  4. Step 4: Simplify right side
    3,446.21x = 5,070,219.00
  5. Step 5: Solve for x
    x = 5,070,219.00/3,446.21
  6. Step 6: Final answer
    x = 1,471.24

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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.