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Finding the Fourth Proportional to 6,491.64, 8,960.30 and 3,839.97

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Solution

The fourth proportional to 6,491.64, 8,960.30 and 3,839.97 is: 5,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.64 : 8,960.30 = 3,839.97 : x
  2. Step 2: Convert to fraction form
    6,491.64/8,960.30 = 3,839.97/x
  3. Step 3: Cross multiply
    6,491.64x = 8,960.30 × 3,839.97
  4. Step 4: Simplify right side
    6,491.64x = 34,407,333.59
  5. Step 5: Solve for x
    x = 34,407,333.59/6,491.64
  6. Step 6: Final answer
    x = 5,300.25

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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.