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Finding the Fourth Proportional to 3,471.98, 5,207.02 and 1,621.27

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Solution

The fourth proportional to 3,471.98, 5,207.02 and 1,621.27 is: 2,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.98 : 5,207.02 = 1,621.27 : x
  2. Step 2: Convert to fraction form
    3,471.98/5,207.02 = 1,621.27/x
  3. Step 3: Cross multiply
    3,471.98x = 5,207.02 × 1,621.27
  4. Step 4: Simplify right side
    3,471.98x = 8,441,985.32
  5. Step 5: Solve for x
    x = 8,441,985.32/3,471.98
  6. Step 6: Final answer
    x = 2,431.46

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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.