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Finding the Fourth Proportional to 6,491.76, 9,736.71 and 1,811.28

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Solution

The fourth proportional to 6,491.76, 9,736.71 and 1,811.28 is: 2,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.76 : 9,736.71 = 1,811.28 : x
  2. Step 2: Convert to fraction form
    6,491.76/9,736.71 = 1,811.28/x
  3. Step 3: Cross multiply
    6,491.76x = 9,736.71 × 1,811.28
  4. Step 4: Simplify right side
    6,491.76x = 17,635,908.09
  5. Step 5: Solve for x
    x = 17,635,908.09/6,491.76
  6. Step 6: Final answer
    x = 2,716.66

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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.