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Finding the Fourth Proportional to 6,640.01, 9,162.25 and 4,122.23

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Solution

The fourth proportional to 6,640.01, 9,162.25 and 4,122.23 is: 5,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.01 : 9,162.25 = 4,122.23 : x
  2. Step 2: Convert to fraction form
    6,640.01/9,162.25 = 4,122.23/x
  3. Step 3: Cross multiply
    6,640.01x = 9,162.25 × 4,122.23
  4. Step 4: Simplify right side
    6,640.01x = 37,768,845.70
  5. Step 5: Solve for x
    x = 37,768,845.70/6,640.01
  6. Step 6: Final answer
    x = 5,688.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.