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Finding the Fourth Proportional to 3,480.98, 5,217.82 and 1,630.59

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Solution

The fourth proportional to 3,480.98, 5,217.82 and 1,630.59 is: 2,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.98 : 5,217.82 = 1,630.59 : x
  2. Step 2: Convert to fraction form
    3,480.98/5,217.82 = 1,630.59/x
  3. Step 3: Cross multiply
    3,480.98x = 5,217.82 × 1,630.59
  4. Step 4: Simplify right side
    3,480.98x = 8,508,090.87
  5. Step 5: Solve for x
    x = 8,508,090.87/3,480.98
  6. Step 6: Final answer
    x = 2,444.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.