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Finding the Fourth Proportional to 6,361.92, 9,543.24 and 1,979.28

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Solution

The fourth proportional to 6,361.92, 9,543.24 and 1,979.28 is: 2,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.92 : 9,543.24 = 1,979.28 : x
  2. Step 2: Convert to fraction form
    6,361.92/9,543.24 = 1,979.28/x
  3. Step 3: Cross multiply
    6,361.92x = 9,543.24 × 1,979.28
  4. Step 4: Simplify right side
    6,361.92x = 18,888,744.07
  5. Step 5: Solve for x
    x = 18,888,744.07/6,361.92
  6. Step 6: Final answer
    x = 2,969.03

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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.