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Finding the Fourth Proportional to 3,598.70, 5,385.80 and 2,211.30

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Solution

The fourth proportional to 3,598.70, 5,385.80 and 2,211.30 is: 3,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.70 : 5,385.80 = 2,211.30 : x
  2. Step 2: Convert to fraction form
    3,598.70/5,385.80 = 2,211.30/x
  3. Step 3: Cross multiply
    3,598.70x = 5,385.80 × 2,211.30
  4. Step 4: Simplify right side
    3,598.70x = 11,909,625.07
  5. Step 5: Solve for x
    x = 11,909,625.07/3,598.70
  6. Step 6: Final answer
    x = 3,309.43

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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.