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Finding the Fourth Proportional to 3,409.44, 5,113.54 and 943.64

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Solution

The fourth proportional to 3,409.44, 5,113.54 and 943.64 is: 1,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.44 : 5,113.54 = 943.64 : x
  2. Step 2: Convert to fraction form
    3,409.44/5,113.54 = 943.64/x
  3. Step 3: Cross multiply
    3,409.44x = 5,113.54 × 943.64
  4. Step 4: Simplify right side
    3,409.44x = 4,825,340.89
  5. Step 5: Solve for x
    x = 4,825,340.89/3,409.44
  6. Step 6: Final answer
    x = 1,415.29

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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.