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Finding the Fourth Proportional to 6,300.72, 8,694.81 and 3,784.32

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Solution

The fourth proportional to 6,300.72, 8,694.81 and 3,784.32 is: 5,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300.72 : 8,694.81 = 3,784.32 : x
  2. Step 2: Convert to fraction form
    6,300.72/8,694.81 = 3,784.32/x
  3. Step 3: Cross multiply
    6,300.72x = 8,694.81 × 3,784.32
  4. Step 4: Simplify right side
    6,300.72x = 32,903,943.38
  5. Step 5: Solve for x
    x = 32,903,943.38/6,300.72
  6. Step 6: Final answer
    x = 5,222.25

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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.