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Finding the Fourth Proportional to 3,655.40, 5,481.90 and 1,346.60

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Solution

The fourth proportional to 3,655.40, 5,481.90 and 1,346.60 is: 2,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.40 : 5,481.90 = 1,346.60 : x
  2. Step 2: Convert to fraction form
    3,655.40/5,481.90 = 1,346.60/x
  3. Step 3: Cross multiply
    3,655.40x = 5,481.90 × 1,346.60
  4. Step 4: Simplify right side
    3,655.40x = 7,381,926.54
  5. Step 5: Solve for x
    x = 7,381,926.54/3,655.40
  6. Step 6: Final answer
    x = 2,019.46

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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.