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Finding the Fourth Proportional to 6,648.35, 9,175.15 and 3,664.19

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Solution

The fourth proportional to 6,648.35, 9,175.15 and 3,664.19 is: 5,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.35 : 9,175.15 = 3,664.19 : x
  2. Step 2: Convert to fraction form
    6,648.35/9,175.15 = 3,664.19/x
  3. Step 3: Cross multiply
    6,648.35x = 9,175.15 × 3,664.19
  4. Step 4: Simplify right side
    6,648.35x = 33,619,458.48
  5. Step 5: Solve for x
    x = 33,619,458.48/6,648.35
  6. Step 6: Final answer
    x = 5,056.81

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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.