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Finding the Fourth Proportional to 6,361.92, 8,784 and 4,242.47

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Solution

The fourth proportional to 6,361.92, 8,784 and 4,242.47 is: 5,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.92 : 8,784 = 4,242.47 : x
  2. Step 2: Convert to fraction form
    6,361.92/8,784 = 4,242.47/x
  3. Step 3: Cross multiply
    6,361.92x = 8,784 × 4,242.47
  4. Step 4: Simplify right side
    6,361.92x = 37,265,812.56
  5. Step 5: Solve for x
    x = 37,265,812.56/6,361.92
  6. Step 6: Final answer
    x = 5,857.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.