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Finding the Fourth Proportional to 6,491.11, 9,736.67 and 2,109.01

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Solution

The fourth proportional to 6,491.11, 9,736.67 and 2,109.01 is: 3,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.11 : 9,736.67 = 2,109.01 : x
  2. Step 2: Convert to fraction form
    6,491.11/9,736.67 = 2,109.01/x
  3. Step 3: Cross multiply
    6,491.11x = 9,736.67 × 2,109.01
  4. Step 4: Simplify right side
    6,491.11x = 20,534,734.40
  5. Step 5: Solve for x
    x = 20,534,734.40/6,491.11
  6. Step 6: Final answer
    x = 3,163.52

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Similar ratio
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1.5x scale

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.