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Finding the Fourth Proportional to 3,543.82, 5,313.93 and 1,350.88

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Solution

The fourth proportional to 3,543.82, 5,313.93 and 1,350.88 is: 2,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.82 : 5,313.93 = 1,350.88 : x
  2. Step 2: Convert to fraction form
    3,543.82/5,313.93 = 1,350.88/x
  3. Step 3: Cross multiply
    3,543.82x = 5,313.93 × 1,350.88
  4. Step 4: Simplify right side
    3,543.82x = 7,178,481.76
  5. Step 5: Solve for x
    x = 7,178,481.76/3,543.82
  6. Step 6: Final answer
    x = 2,025.63

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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.