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Finding the Fourth Proportional to 6,640.64, 9,947.99 and 5,172.92

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Solution

The fourth proportional to 6,640.64, 9,947.99 and 5,172.92 is: 7,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.64 : 9,947.99 = 5,172.92 : x
  2. Step 2: Convert to fraction form
    6,640.64/9,947.99 = 5,172.92/x
  3. Step 3: Cross multiply
    6,640.64x = 9,947.99 × 5,172.92
  4. Step 4: Simplify right side
    6,640.64x = 51,460,106.69
  5. Step 5: Solve for x
    x = 51,460,106.69/6,640.64
  6. Step 6: Final answer
    x = 7,749.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.