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Finding the Fourth Proportional to 3,380.82, 5,071.02 and 1,072.32

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Solution

The fourth proportional to 3,380.82, 5,071.02 and 1,072.32 is: 1,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.82 : 5,071.02 = 1,072.32 : x
  2. Step 2: Convert to fraction form
    3,380.82/5,071.02 = 1,072.32/x
  3. Step 3: Cross multiply
    3,380.82x = 5,071.02 × 1,072.32
  4. Step 4: Simplify right side
    3,380.82x = 5,437,756.17
  5. Step 5: Solve for x
    x = 5,437,756.17/3,380.82
  6. Step 6: Final answer
    x = 1,608.41

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1.5x scale

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.